@article{CM_1972__24_2_175_0, author = {Elworthy, K. D.}, title = {Embeddings, isotopy and stability of {Banach} manifolds}, journal = {Compositio Mathematica}, pages = {175--226}, publisher = {Wolters-Noordhoff Publishing}, volume = {24}, number = {2}, year = {1972}, mrnumber = {305433}, zbl = {0228.58001}, language = {en}, url = {http://www.numdam.org/item/CM_1972__24_2_175_0/} }
Elworthy, K. D. Embeddings, isotopy and stability of Banach manifolds. Compositio Mathematica, Tome 24 (1972) no. 2, pp. 175-226. http://www.numdam.org/item/CM_1972__24_2_175_0/
Homeomorphisms of infinite dimensional manifolds, I.C.M. Nice 1970. | MR | Zbl
[1]Proper homotopies in l2 manifolds, Comp. Mat. 23(1971) 155-157. | Numdam | MR | Zbl
[1a]On extending homeomorphisms to Fréchet manifolds, Proc. A.M.S. 25 (1970) 283-289. | MR | Zbl
AND [2]Smooth functions on Banach manifolds, J. of Math. and Mech. 15 (1966) 877-898. | MR | Zbl
AND [3]∧-manifolds, Journal of Functional Analysis 3 (1969). | Zbl
, AND [4]Imbedding Hilbert manifolds in finite co-dimension, Séminaire de mathématiques supérieures, Montréal, 1969.
[5] (i)(ii) Imbedding Hilbert manifolds with given normal bundle, Math. Ann. 187 (1970) 207-219. | MR | Zbl
Diffeomorphisms for Hilbert manifolds and handle decompositions, Bulletin A.M.S. 76 (1970) 352-357. | MR | Zbl
[6]Hilbert manifolds, Ann. of Math. 90 (1969) 379-417. | MR | Zbl
AND [7]Normed linear spaces, Ergebn. Math. Heft 21 (1958). | MR | Zbl
[8]On the basis problem in Banach spaces, Proc. A.M.S. 13 (1962) 655-658. | MR | Zbl
[8a]Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné, Ann. Inst. Fourier, Grenoble 16 (1966) 1-95. | Numdam | MR | Zbl
[9]Un espace de Banach dont le groupe linéare n'est pas connexe, Nederl. Akad.v. W. A68 = Ind. Math. 27 (1965) 787-789. | MR | Zbl
[10]The Linear groups of C and L 1 are contractible, Bull. Acad. Pol. Sc. Ser. Math., 18 No. 1, 27-33 (1970). | MR | Zbl
, AND [11]A setting for global analysis, Bull. A.M.S. 72 (1966) 751-807. | MR | Zbl
[12](OECBM) Open embeddings of certain Banach manifolds, Ann. of Math. 91 (1970) 465-485. | MR | Zbl
AND [13]Homotopy negligible subsets, Comp. Math. 21 (1969) 155-161. | Numdam | MR | Zbl
AND [14]Fredholm maps and GLc(E) structures, Bull A.M.S. 74 (1968) 582-586. | MR | Zbl
[15]Fredholm maps and differential structures on Banach manifolds. Global Analysis (Proc. Sympos. Pure Math., Vol. XV, Berkeley, Calif., 1968) 45-94 A.M.S. (1970). | MR | Zbl
AND [16]An example concerning reflexivity, Studia Math. 28 (1967) 289-294. | MR | Zbl
AND [17]On tangential equivalence of manifolds. Ann. of Math. 83 (1966) 211-217. | MR | Zbl
[18]Bases and reflexivity of Banach spaces, Ann. of Math. 52 (1950) 518-527. | MR | Zbl
[19]Les variétés hilbertiens, Séminaire de Mathématiques Supérieures, Conférence Montréal 1969. | Zbl
[20]The differential topology of separable Banach manifolds, ICM Nice 1970. | MR | Zbl
[21]Differentiable closed embeddings of Banach manifolds, Conference in honour of G. de Rham, Springer Verlag (1970) 118-125. | MR | Zbl
AND [22]Introduction to differentiable manifolds, Interscience, New York 1962. | MR | Zbl
[23]Continuous selections I, Ann. of Math. 63 (1956) 361-382. | MR | Zbl
[24]Der Ring der Vektorraumbündel eines topologischen Raumes, Bonn 1959 (lecture notes).
[25]Contractibility of the Linear group of a function Banach space, Uspechi Mat. Nauk 26 (1970).
[26]The homotopy type of the linear groups of two classes of Banach spaces, Functional Analysis 4 (1970). | MR | Zbl
AND [27]Sur les variétés hilbertiennes et les fonctions non dégénérées, Nederl. Akad.v. W. A71 = Ind. Math. 30 (1968) 497-511. | MR | Zbl
[28]Approximation de fonctions différentiables sur certains espaces de Banach. Thèse, Paris, 1970 (to appear). | Numdam | Zbl
[29]Structure Fredholm sur les variétés Banachiques, Notes of lectures by K. D. Elworthy. Séminaire de mathématiques supérieures, Montréal, 1969.
[30]On a class of sequence spaces with contractible linear group (Mimeographed notes Berkeley 1967).
[31 ]Homotopy theory of infinite dimensional manifolds, Topology 5 (1966) 1-16. | MR | Zbl
[32]Projections in certain Banach spaces, Studia Math. 19 (1960) 209-228. | MR | Zbl
[33]Equations in linear spaces, Monografie Matematyczne 47, PWN, Warsaw 1968. | Zbl
AND [34]Integrals with non-degenerate critical points, Bull. A.M.S. 76 (1970) 125-128. | MR | Zbl
[35]Differentiable functions on c0, Bull. A.M.S. 75 (1969) 117-118. | MR | Zbl
[36]C1 partitions of unity on non-separable Hilbert space, Bull. A.M.S. 77 (1971) 804-807. | MR | Zbl
[36a] [37]