@article{CTGDC_1978__19_1_3_0, author = {Porter, Timothy}, title = {Coherent prohomotopy theory}, journal = {Cahiers de topologie et g\'eom\'etrie diff\'erentielle}, pages = {3--46}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {19}, number = {1}, year = {1978}, mrnumber = {496541}, zbl = {0387.55013}, language = {en}, url = {http://www.numdam.org/item/CTGDC_1978__19_1_3_0/} }
TY - JOUR AU - Porter, Timothy TI - Coherent prohomotopy theory JO - Cahiers de topologie et géométrie différentielle PY - 1978 SP - 3 EP - 46 VL - 19 IS - 1 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1978__19_1_3_0/ LA - en ID - CTGDC_1978__19_1_3_0 ER -
Porter, Timothy. Coherent prohomotopy theory. Cahiers de topologie et géométrie différentielle, Tome 19 (1978) no. 1, pp. 3-46. http://www.numdam.org/item/CTGDC_1978__19_1_3_0/
1 Grothendieck topologies, Seminar Notes, Harvard University, 1963. | Zbl
,2 Etale homotopy, Lecture Notes in Math. 100, Springer (1969). | MR | Zbl
and ,3 Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math. 347, Springer (1973). | MR | Zbl
and ,4 Theory of shape, Lecture Notes 28, Mat. Inst. Aarhus Univ., 1971. | MR | Zbl
,5 Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer (1972). | MR | Zbl
and ,6 Abstract homotopy theory and generalized sheaf cohomology, Trans. A.M.S. 186 (1973), 419- 458. | MR | Zbl
,7 Net-homotopy for compacta, Trans. A.M.S. 56 (1944), 275. | MR | Zbl
,8 Simplicial homotopy theory, Lecture Note s, Mat. I nst. Aarhus Univ., 1967. | MR | Zbl
,9 Homology of relations, Ann. of Math. 56 (1952), 84- 95. | MR | Zbl
,10 Etale homotopy theory and shape, Lecture Notes Math. 428 Springer (1977). | MR | Zbl
,11 Calculus of fractions and homotopy theory, Springer, 1967. | MR | Zbl
and ,12 Homotopy theory and duality, Cornell Univ. 1959 and Gordon and Breach, 1965. | MR
,13 Elementary toposes, Lecture Notes 30, Mat. Inst. Aarhus Univ., 1971- 72. | MR | Zbl
and ,14 Semisimpliziale algebraische Topologie, Springer, 1968. | MR | Zbl
,15 Shape theory, Thesis (unpublished), 1973.
,16 Shapes for topological spaces, General Topology and Appl.3 (1973), 265-282. | MR | Zbl
,17 The Hurewicz and Whitehead theories in shape theory, Proc. Topology Conference, Charlotte N. C., 1974. | MR | Zbl
,18 Shapes of compacta and ANR-systems, Fund. Math. 72 (1971), 61- 68. | MR
and ,19 Simplicial objects in algebraic topology, Van Nostrand, 1967. | MR | Zbl
,20 On shapes of topological spaces, Fund. Math. 75 (1975), | MR | Zbl
,21 Čech homotopy I, J. London Math. Soc. (2) 6 (1973). 429- 436. | MR | Zbl
,22 Čech homotopy II, I d em 667-675. | MR | Zbl
,23 Čech homotopy III, Bull. London Math. Soc. 6 (1974), 307- 311. | MR | Zbl
,24 Stability results for topological spaces, Math. Z. 140 (1974), 1. | MR | Zbl
,25 Une théorie des obstructions dans une catégorie de diagrammes et des applications à la théorie d'homotopie de Čech, Ann. Soc. Sci. Bruxelles: I, 88-III (1974), 281-291; II, 89 (1975), 25; III, id. 375; IV, 90, 77; V, id 173. | MR | Zbl
,26 Abstract homotopy theory in procategories, Cahiers Topo. et Géo. Diff. XVII-2 (1976), 113-124. | Numdam | MR | Zbl
,27 Coherent prohomotopical algebra, idem XVIII-2 (1977), 139-179. | Numdam | MR | Zbl
,28 On a conj ecture of A. Weil, Amer. J. Math. 89 (1967), 443- 548. | MR | Zbl
,29 Homotopical algebra, Lecture Notes in Math. 43, Springer (1967). | MR | Zbl
,30 Algebraic Topology, Mc Graw Hill, New-York, 1966. | MR
,31 Part 1: Localization, periodicity and Galois symmetry, Notes M.I. T. (mimeographed), 1970.
, ,32 Homotopy limits and colimits, Math. Z. 134 (1973), 11-53. | MR | Zbl
,33 Théorie des topos et cohomologie étale des schémas, Sém. Géo. algèbrique, I. H. E. S. 1963- 64 and Lecture Notes in Math. 269-270, Springer (1972).