@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},
year = {1978},
publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
volume = {19},
number = {1},
mrnumber = {496541},
zbl = {0387.55013},
language = {en},
url = {https://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 - https://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. https://www.numdam.org/item/CTGDC_1978__19_1_3_0/
1 , Grothendieck topologies, Seminar Notes, Harvard University, 1963. | Zbl
2 and , Etale homotopy, Lecture Notes in Math. 100, Springer (1969). | Zbl | MR
3 and , Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math. 347, Springer (1973). | Zbl | MR
4 , Theory of shape, Lecture Notes 28, Mat. Inst. Aarhus Univ., 1971. | Zbl | MR
5 and , Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer (1972). | Zbl | MR
6 , Abstract homotopy theory and generalized sheaf cohomology, Trans. A.M.S. 186 (1973), 419- 458. | Zbl | MR
7 , Net-homotopy for compacta, Trans. A.M.S. 56 (1944), 275. | Zbl | MR
8 , Simplicial homotopy theory, Lecture Note s, Mat. I nst. Aarhus Univ., 1967. | Zbl | MR
9 , Homology of relations, Ann. of Math. 56 (1952), 84- 95. | Zbl | MR
10 , Etale homotopy theory and shape, Lecture Notes Math. 428 Springer (1977). | Zbl | MR
11 and , Calculus of fractions and homotopy theory, Springer, 1967. | Zbl | MR
12 , Homotopy theory and duality, Cornell Univ. 1959 and Gordon and Breach, 1965. | MR
13 and , Elementary toposes, Lecture Notes 30, Mat. Inst. Aarhus Univ., 1971- 72. | Zbl | MR
14 , Semisimpliziale algebraische Topologie, Springer, 1968. | Zbl | MR
15 , Shape theory, Thesis (unpublished), 1973.
16 , Shapes for topological spaces, General Topology and Appl.3 (1973), 265-282. | Zbl | MR
17 , The Hurewicz and Whitehead theories in shape theory, Proc. Topology Conference, Charlotte N. C., 1974. | Zbl | MR
18 and , Shapes of compacta and ANR-systems, Fund. Math. 72 (1971), 61- 68. | MR
19 , Simplicial objects in algebraic topology, Van Nostrand, 1967. | Zbl | MR
20 , On shapes of topological spaces, Fund. Math. 75 (1975), | Zbl | MR
21 , Čech homotopy I, J. London Math. Soc. (2) 6 (1973). 429- 436. | Zbl | MR
22 , Čech homotopy II, I d em 667-675. | Zbl | MR
23 , Čech homotopy III, Bull. London Math. Soc. 6 (1974), 307- 311. | Zbl | MR
24 , Stability results for topological spaces, Math. Z. 140 (1974), 1. | Zbl | MR
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. | Zbl | MR
26 , Abstract homotopy theory in procategories, Cahiers Topo. et Géo. Diff. XVII-2 (1976), 113-124. | Zbl | MR | Numdam
27 , Coherent prohomotopical algebra, idem XVIII-2 (1977), 139-179. | Zbl | MR | Numdam
28 , On a conj ecture of A. Weil, Amer. J. Math. 89 (1967), 443- 548. | Zbl | MR
29 , Homotopical algebra, Lecture Notes in Math. 43, Springer (1967). | Zbl | MR
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. | Zbl | MR
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).





