@article{BSMF_1961__89__227_0, author = {Cerf, Jean}, title = {Topologie de certains espaces de plongements}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {227--380}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {89}, year = {1961}, doi = {10.24033/bsmf.1567}, zbl = {0101.16001}, mrnumber = {140120}, language = {fr}, url = {https://www.numdam.org/articles/10.24033/bsmf.1567/} }
TY - JOUR AU - Cerf, Jean TI - Topologie de certains espaces de plongements JO - Bulletin de la Société Mathématique de France PY - 1961 SP - 227 EP - 380 VL - 89 PB - Société mathématique de France UR - https://www.numdam.org/articles/10.24033/bsmf.1567/ DO - 10.24033/bsmf.1567 LA - fr ID - BSMF_1961__89__227_0 ER -
Cerf, Jean. Topologie de certains espaces de plongements. Bulletin de la Société Mathématique de France, Tome 89 (1961), pp. 227-380. doi : 10.24033/bsmf.1567. https://www.numdam.org/articles/10.24033/bsmf.1567/
On the deformation of an n cell, Proc. Nat. Acad. Sc. U. S. A., t. 9, 1923, p. 406-407. | JFM
: [1]Locally tame sets are tame, Annals of Math., Series 2, t. 59, 1954, p. 145-158. | MR | Zbl
: [1]Approximating surfaces with polyhedral ones, Annals of Math., Series 2, t. 65, 1957, p. 456-483. | MR | Zbl
: [2]Topologie générale, Fascicule de résultats. - Paris, Hermann, 1953 (Act. scient. et ind., 1196 ; Éléments de Mathématique, 16) | Zbl
: [1]Homeomorphisms between topological manifolds and analytic manifolds, Ann. of Math., Series 2, t. 41, 1940, p. 796-808. | JFM | MR | Zbl
: [1]Triangulated manifolds and differentiable manifolds, Lectures in topology, p. 143-157. - Ann. Arbor, University of Michigan, 1941. | MR | Zbl
: [2]Groupes d'automorphismes et groupes de difféomorphismes des variétés compactes de dimension 3, Bull. Soc. math. France, t. 87, 1959, p. 319-329 (Colloques internationaux du Centre national de la Recherche scientifique, 89, 1958, Lille : Topologie algébrique et Géométrie différentielle). | Numdam | Zbl
: [1]Quelques propriétés des applications différentiables (à paraître).
: [2]Quasifaserungen und unendliche symmetrische Produkte, Annals of Math., Series 2, t. 67, 1958, p. 239-281. | MR | Zbl
und : [1]Les prolongements d'une variété différentiable, 1 : Calcul des jets, prolongement principal, C. R. Acad. Sc. Paris, t. 233, 1951, p. 598-600. | Zbl
: [1]Introduction à la théorie des structures infinitésimales et des pseudo-groupes de Lie, Centre national de la Recherche scientifique : Géométrie différentielle, p. 97-110. Paris, C. N. R. S., 1953 (Colloques internationaux du C. N. R. S., t. 52, 1953, Strasbourg). | Zbl
: [2]Foundations of algebraic topology. - Princeton, Princeton University Press, 1952 (Princeton mathematical Series, 15). | Zbl
and : [1]Propriétés topologiques du groupe des automorphismes de la sphère Sn, Bull. Soc. math. France, t. 71, 1943, p. 206-211. | Zbl
: [1]Étude de quelques algèbres tayloriennes, J. Anal. math., Jérusalem, t. 6, 1958, p. 1-124. | MR | Zbl
: [1]Sur quelques points d'algèbre homologique, Tohoku math. J., Series 2, t. 9, 1957, p. 119-221. | Zbl
: [1]Regular mapping and the space of homeomorphisms on a 2-manifold, Duke math. J., t. 25, 1958, p. 521-531. | MR | Zbl
and : [1]Une remarque sur les jets d'ordre infini, Colloque de Topologie de Strasbourg, 1954-1955, 2 pages. | Zbl
: [1]Die Deformationssätze der einfach zusammenhängenden Flächen, Math. Z., t. 25, 1926, p. 362-372. | JFM
: [1]On manifolds homeomorphic to the 7-sphere, Annals of Math., Series 2, t. 64, 1956, p. 399-405. | MR | Zbl
: [1][2] Differentiable manifolds which are homotopy spheres. - Princeton, Princeton University Press, 1959 (multigraphié). | Zbl
: [2]Affine structure in 3-manifolds, V : The triangulation theorem and Hauptvermutung, Annals of Math., Series 2, 1952, p. 96-114. | MR | Zbl
: [1]Natural operation differential forms, Trans. Amer. math. Soc., t. 92, 1959, p. 125-141 | MR | Zbl
: [1]Extending diffeomorphisms, Proc. Amer. math. Soc., t. 11, 1960, p. 274-277. | MR | Zbl
: [2]Variétés différentiables, - Paris, Hermann, 1955 (Act. scient. et ind., 1222, Publ. Inst. math. Univ. Nancago, 3). | Zbl
: [1]The measure of the critical values of differentiable maps, Bull. Amer. math. Soc., t. 48, 1942, p. 883-890. | MR | Zbl
: [1]Théorie des distributions, t. 1. - Paris, Hermann, 1950 (Act. scient. et ind., 1091 ; Publ. Inst. Math. Univ. Strasbourg, 9). | Zbl
: [1]Les théorèmes de Whitney sur les fonctions différentiables, Séminaire Bourbaki, t. 3, 1950-1951, n° 43, 9 pages. | Numdam
: [2]Division par une fonction holomorphe sur une variété analytique complexe, Summa Bras. Math., t. 3, 1955, p. 181-209. | MR
: [3]Lehrbuch der Topologie. - Leipzig, B. G. Teubner, 1934. | JFM | Zbl
und : [1]SÉMINAIRE H. CARTAN : [1] 2e édition : Topologie algébrique, t. 1, 1948-1949. - Paris, Secrétariat mathématique, 1955.
The classification of immersions of spheres in euclidean spaces, Annals of Math., Series 2, t. 69, 1959, p. 327-344. | MR | Zbl
: [1]The topology of fibre bundles. - Princeton, Princeton University Press, 1951 (Princeton mathematical Series, 14). | Zbl
: [1]Quelques propriétés globales des variétés differentiables, Comment. Math. Helvet. t. 28. 1954, p. 17-86. | MR | Zbl
: [1]Analytic extension of differentiable functions defined in closed sets, Trans. Amer. math. Soc., t. 36, 1934, p. 63-89. | JFM | MR | Zbl
: [1]On the extension of differentiable functions, Bull. Amer. math. Soc., t. 50, 1944, p. 76-81. | MR | Zbl
: [2]Differentiable manifolds, Annals of Math., Series 2, t. 37, 1936, p. 645-680. | JFM | Zbl
: [3]- Embedding calculus and grope cobordism of knots, Advances in Mathematics, Volume 451 (2024), p. 109779 | DOI:10.1016/j.aim.2024.109779
- Topological representations of motion groups and mapping class groups – a unified functorial construction, Annales Henri Lebesgue, Volume 7 (2024), p. 409 | DOI:10.5802/ahl.204
- Vector bundle automorphisms preserving Morse-Bott foliations, Differential Geometry and its Applications, Volume 97 (2024), p. 102189 | DOI:10.1016/j.difgeo.2024.102189
- The Quotient Criterion for Syzygies in Equivariant Cohomology for Elementary Abelian 2-Group Actions, La Matematica, Volume 3 (2024) no. 3, p. 1016 | DOI:10.1007/s44007-024-00112-2
- Diffeotopy Groups of Noncompact 4-Manifolds, Michigan Mathematical Journal, Volume -1 (2024) no. -1 | DOI:10.1307/mmj/20236345
- Homological stability for spaces of subsurfaces with a tangential structure, The Quarterly Journal of Mathematics, Volume 75 (2024) no. 4, p. 1559 | DOI:10.1093/qmath/haae054
- Operadic actions on long knots and 2–string links, Algebraic Geometric Topology, Volume 23 (2023) no. 2, p. 833 | DOI:10.2140/agt.2023.23.833
- Intrinsic Geometric Structure of Subcartesian Spaces, Axioms, Volume 13 (2023) no. 1, p. 9 | DOI:10.3390/axioms13010009
- Traces of links and simply connected 4‐manifolds, Bulletin of the London Mathematical Society, Volume 55 (2023) no. 1, p. 321 | DOI:10.1112/blms.12729
- Real Semi-Stable Degenerations, Real-Oriented Blow-Ups, and Straightening Corners, International Mathematics Research Notices, Volume 2023 (2023) no. 18, p. 15896 | DOI:10.1093/imrn/rnad005
- Fiber of persistent homology on morse functions, Journal of Applied and Computational Topology, Volume 7 (2023) no. 1, p. 89 | DOI:10.1007/s41468-022-00100-x
- Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 1, Journal of Homotopy and Related Structures, Volume 18 (2023) no. 2-3, p. 313 | DOI:10.1007/s40062-023-00328-z
- Connected sums of codimension two locally flat submanifolds, Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2023), p. 1 | DOI:10.1017/prm.2022.87
- On homotopy groups of spaces of embeddings of an arc or a circle: the Dax invariant, Transactions of the American Mathematical Society, Volume 377 (2023) no. 2, p. 775 | DOI:10.1090/tran/8805
- On the bordism group for group actions on the torus, Annales de l'Institut Fourier, Volume 72 (2022) no. 3, p. 989 | DOI:10.5802/aif.3480
- Manifolds of mappings on Cartesian products, Annals of Global Analysis and Geometry, Volume 61 (2022) no. 2, p. 359 | DOI:10.1007/s10455-021-09816-y
- The Burau representations of loop braid groups, Comptes Rendus. Mathématique, Volume 360 (2022) no. G7, p. 781 | DOI:10.5802/crmath.338
- An additivity theorem for cobordism categories, Algebraic Geometric Topology, Volume 21 (2021) no. 2, p. 601 | DOI:10.2140/agt.2021.21.601
- Homological stability for moduli spaces of disconnected submanifolds, I, Algebraic Geometric Topology, Volume 21 (2021) no. 3, p. 1371 | DOI:10.2140/agt.2021.21.1371
- No homotopy 4–sphere invariants using ECH=SWF, Algebraic Geometric Topology, Volume 21 (2021) no. 5, p. 2543 | DOI:10.2140/agt.2021.21.2543
- Configuration-mapping spaces and homology stability, Research in the Mathematical Sciences, Volume 8 (2021) no. 3 | DOI:10.1007/s40687-021-00270-7
- Equivariant factorization homology of global quotient orbifolds, Advances in Mathematics, Volume 366 (2020), p. 107072 | DOI:10.1016/j.aim.2020.107072
- Some computations of stable twisted homology for mapping class groups, Communications in Algebra, Volume 48 (2020) no. 6, p. 2467 | DOI:10.1080/00927872.2020.1716981
- Controllability of low Reynolds numbers swimmers of ciliate type, ESAIM: Control, Optimisation and Calculus of Variations, Volume 26 (2020), p. 31 | DOI:10.1051/cocv/2019010
- Diffeomorphisms preserving Morse–Bott functions, Indagationes Mathematicae, Volume 31 (2020) no. 2, p. 185 | DOI:10.1016/j.indag.2019.12.004
- Dynamical and cohomological obstructions to extending group actions, Mathematische Annalen, Volume 377 (2020) no. 3-4, p. 1313 | DOI:10.1007/s00208-020-01989-4
- Smooth approximations and their applications to homotopy types, Proceedings of the International Geometry Center, Volume 13 (2020) no. 2, p. 68 | DOI:10.15673/tmgc.v13i2.1781
- Differential forms on manifolds with boundary and corners, Indagationes Mathematicae, Volume 30 (2019) no. 5, p. 920 | DOI:10.1016/j.indag.2019.07.004
- A local to global argument on low dimensional manifolds, Transactions of the American Mathematical Society, Volume 373 (2019) no. 2, p. 1307 | DOI:10.1090/tran/7970
- Topology of Real Singularities, Singularities and Foliations. Geometry, Topology and Applications, Volume 222 (2018), p. 51 | DOI:10.1007/978-3-319-73639-6_2
- Homological stability for automorphism groups, Advances in Mathematics, Volume 318 (2017), p. 534 | DOI:10.1016/j.aim.2017.07.022
- On the contact mapping class group of Legendrian circle bundles, Compositio Mathematica, Volume 153 (2017) no. 2, p. 294 | DOI:10.1112/s0010437x16007776
- Homological stability for spaces of embedded surfaces, Geometry Topology, Volume 21 (2017) no. 3, p. 1387 | DOI:10.2140/gt.2017.21.1387
- Homological stability for moduli spaces of high dimensional manifolds. I, Journal of the American Mathematical Society, Volume 31 (2017) no. 1, p. 215 | DOI:10.1090/jams/884
- Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces, Winter Braids Lecture Notes, Volume 3 (2017), p. 1 | DOI:10.5802/wbln.15
- A generalization of manifolds with corners, Advances in Mathematics, Volume 299 (2016), p. 760 | DOI:10.1016/j.aim.2016.06.004
- On bundles that admit fiberwise hyperbolic dynamics, Mathematische Annalen, Volume 364 (2016) no. 1-2, p. 401 | DOI:10.1007/s00208-015-1218-8
- A universal Riemannian foliated space, Topology and its Applications, Volume 198 (2016), p. 47 | DOI:10.1016/j.topol.2015.11.006
- Systolic volume of homology classes, Algebraic Geometric Topology, Volume 15 (2015) no. 2, p. 733 | DOI:10.2140/agt.2015.15.733
- Stable isotopy in four dimensions, Journal of the London Mathematical Society, Volume 91 (2015) no. 2, p. 439 | DOI:10.1112/jlms/jdu075
- Diffeomorphism groups of non-compact manifolds endowed with the WhitneyC∞-topology, Topology and its Applications, Volume 179 (2015), p. 51 | DOI:10.1016/j.topol.2014.08.015
- Stable moduli spaces of high-dimensional manifolds, Acta Mathematica, Volume 212 (2014) no. 2, p. 257 | DOI:10.1007/s11511-014-0112-7
- Erratum and addendum to “Commutators of
-diffeomorphisms preserving a submanifold”, Journal of the Mathematical Society of Japan, Volume 65 (2013) no. 4 | DOI:10.2969/jmsj/06541329 - Elliptic Three-Manifolds and the Smale Conjecture, Diffeomorphisms of Elliptic 3-Manifolds, Volume 2055 (2012), p. 1 | DOI:10.1007/978-3-642-31564-0_1
- The Method of Cerf and Palais, Diffeomorphisms of Elliptic 3-Manifolds, Volume 2055 (2012), p. 19 | DOI:10.1007/978-3-642-31564-0_3
- Elliptic Three-Manifolds Containing One-Sided Klein Bottles, Diffeomorphisms of Elliptic 3-Manifolds, Volume 2055 (2012), p. 53 | DOI:10.1007/978-3-642-31564-0_4
- Lens Spaces, Diffeomorphisms of Elliptic 3-Manifolds, Volume 2055 (2012), p. 85 | DOI:10.1007/978-3-642-31564-0_5
- Diffeomorphisms and Embeddings of Manifolds, Diffeomorphisms of Elliptic 3-Manifolds, Volume 2055 (2012), p. 9 | DOI:10.1007/978-3-642-31564-0_2
- Improved homological stability for the mapping class group with integral or twisted coefficients, Mathematische Zeitschrift, Volume 270 (2012) no. 1-2, p. 297 | DOI:10.1007/s00209-010-0798-y
- Corners in M-theory, Journal of Physics A: Mathematical and Theoretical, Volume 44 (2011) no. 25, p. 255402 | DOI:10.1088/1751-8113/44/25/255402
- Invariants Des Paires D'Espaces. Applications A La Topologie Differentielle., Topologia differenziale (2011), p. 1 | DOI:10.1007/978-3-642-10988-1_1
- Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 148 (2010) no. 2, p. 297 | DOI:10.1017/s0305004109990338
- The geometry of the critical set of nonlinear periodic Sturm–Liouville operators, Journal of Differential Equations, Volume 246 (2009) no. 8, p. 3380 | DOI:10.1016/j.jde.2008.10.021
- The Askey scheme as a four-manifold with corners, The Ramanujan Journal, Volume 20 (2009) no. 3, p. 409 | DOI:10.1007/s11139-009-9208-7
- Group actions and Hilbert's fifth problem, Handbook of Global Analysis (2008), p. 533 | DOI:10.1016/b978-044452833-9.50011-5
- Topology of manifolds with corners, Handbook of Global Analysis (2008), p. 983 | DOI:10.1016/b978-044452833-9.50020-6
- A Gauss–Bonnet formula for closed semi-algebraic sets, advg, Volume 8 (2008) no. 1, p. 33 | DOI:10.1515/advgeom.2008.003
- Classification of negatively pinched manifolds with amenable fundamental groups, Acta Mathematica, Volume 196 (2006) no. 2, p. 229 | DOI:10.1007/s11511-006-0005-5
- Compactifications of Symmetric and Locally Symmetric Spaces, Lie Theory, Volume 229 (2005), p. 69 | DOI:10.1007/0-8176-4430-x_2
- Vassiliev invariants and the Poincaré conjecture, Topology, Volume 43 (2004) no. 5, p. 1211 | DOI:10.1016/j.top.2004.01.009
- Hilbert’s Fifth Problem and Proper Actions of Lie Groups, Current Trends in Transformation Groups, Volume 7 (2002), p. 1 | DOI:10.1007/978-94-009-0003-5_1
- A Compactification of the Real Configuration Space as an Operadic Completion, Journal of Algebra, Volume 215 (1999) no. 1, p. 185 | DOI:10.1006/jabr.1998.7709
- Simplifying group actions, Topology and its Applications, Volume 75 (1997) no. 1, p. 13 | DOI:10.1016/s0166-8641(96)00084-3
- Codimension-two reflection and non-hyperbolic invariant lines, Nonlinearity, Volume 7 (1994) no. 1, p. 109 | DOI:10.1088/0951-7715/7/1/006
- Bibliography, Volume 138 (1993), p. 233 | DOI:10.1016/s0079-8169(08)62213-8
- Bibliography, Differential Topology, Volume 173 (1992), p. 575 | DOI:10.1016/s0304-0208(08)70158-0
- Local triviality of the restriction map for immersions with normal crossings: An extension of a result of R. Palais, Topology and its Applications, Volume 31 (1989) no. 3, p. 301 | DOI:10.1016/0166-8641(89)90026-6
- Ricci-flat Kähler metrics on affine algebraic manifolds, Geometry and Analysis on Manifolds, Volume 1339 (1988), p. 20 | DOI:10.1007/bfb0083044
- Automorphisms of manifolds and algebraic K-theory: I, K-Theory, Volume 1 (1988) no. 6, p. 575 | DOI:10.1007/bf00533787
- The stability theorem for smooth pseudoisotopies, K-Theory, Volume 2 (1988) no. 1-2, p. 1 | DOI:10.1007/bf00533643
- Transverse transversals and homeomorphic transversals, Topology, Volume 24 (1985) no. 1, p. 25 | DOI:10.1016/0040-9383(85)90042-4
- On the triangulation of stratified sets and singular varieties, Transactions of the American Mathematical Society, Volume 275 (1983) no. 1, p. 333 | DOI:10.1090/s0002-9947-1983-0678354-5
- On the presentation of stratified sets and singular varieties, Mathematika, Volume 29 (1982) no. 1, p. 135 | DOI:10.1112/s0025579300012249
- The homology of some groups of diffeomorphisms, Commentarii Mathematici Helvetici, Volume 55 (1980) no. 1, p. 97 | DOI:10.1007/bf02566677
- The realization of abstract stratified sets, Kodai Mathematical Journal, Volume 3 (1980) no. 1 | DOI:10.2996/kmj/1138036113
- Symmetry properties of certain C∞-functions on the 2-dimensional disk, Topology, Volume 19 (1980) no. 2, p. 111 | DOI:10.1016/0040-9383(80)90002-6
- Sur la Conjugaison Différentiable des Difféomorphismes du Cercle a des Rotations, Publications mathématiques de l'IHÉS, Volume 49 (1979) no. 1, p. 5 | DOI:10.1007/bf02684798
- A chain functor for bordism, Transactions of the American Mathematical Society, Volume 239 (1978) no. 0, p. 167 | DOI:10.1090/s0002-9947-1978-0488031-x
- Small sets of homeomorphisms which control manifolds, Proceedings of the American Mathematical Society, Volume 57 (1976) no. 1, p. 173 | DOI:10.1090/s0002-9939-1976-0405450-1
- Sur le groupe des diffeomorphismes R-analytiques de R, Indagationes Mathematicae (Proceedings), Volume 78 (1975) no. 4, p. 351 | DOI:10.1016/1385-7258(75)90006-2
- Some non-linear equivariant sphere bundles, Commentarii Mathematici Helvetici, Volume 48 (1973) no. 1, p. 498 | DOI:10.1007/bf02566136
- The non-finite homotopy type of some diffeomorphism groups, Topology, Volume 11 (1972) no. 1, p. 1 | DOI:10.1016/0040-9383(72)90021-3
- The nonfinite type of some 𝐷𝑖𝑓𝑓₀𝑀ⁿ, Bulletin of the American Mathematical Society, Volume 76 (1970) no. 6, p. 1246 | DOI:10.1090/s0002-9904-1970-12621-0
- Retracting diffeomorphisms of 𝑛-spheres, Proceedings of the American Mathematical Society, Volume 24 (1970) no. 1, p. 57 | DOI:10.1090/s0002-9939-1970-0250327-2
- La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Publications mathématiques de l'IHÉS, Volume 39 (1970) no. 1, p. 7 | DOI:10.1007/bf02684687
- Obstructions to concordance for thickenings, Inventiones Mathematicae, Volume 5 (1968) no. 4, p. 292 | DOI:10.1007/bf01389778
- On the classification ofO(n)-manifolds, Mathematische Annalen, Volume 176 (1968) no. 1, p. 53 | DOI:10.1007/bf02052956
- Surgery and the Theory of Differentiable Transformation Groups, Proceedings of the Conference on Transformation Groups (1968), p. 1 | DOI:10.1007/978-3-642-46141-5_1
- DIVISION OF MATHEMATICS: SOLVED AND UNSOLVED PROBLEMS IN THE COMPUTATION OF HOMEOTOPY GROUPS OF 2‐MANIFOLDS*, Transactions of the New York Academy of Sciences, Volume 30 (1968) no. 7 Series II, p. 919 | DOI:10.1111/j.2164-0947.1968.tb02535.x
- Contraction of the group of diffeomorphisms of
, Proceedings of the Japan Academy, Series A, Mathematical Sciences, Volume 41 (1965) no. 4 | DOI:10.3792/pja/1195522427 - Factorization of differentiable maps with branch set dimension at most 𝑛-3, Transactions of the American Mathematical Society, Volume 115 (1965) no. 0, p. 370 | DOI:10.1090/s0002-9947-1965-0195101-3
- On the local triviality of the restriction map for embeddings, Commentarii Mathematici Helvetici, Volume 38 (1963) no. 1, p. 163 | DOI:10.1007/bf02566913
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