Coherent prohomotopy theory

 Access to full text

 Full (PDF)

1. 1 Artin, M., Grothendieck topologies, Seminar Notes, Harvard University, 1963. Zbl0208.48701
2. 2 Artin, M. and Mazur, B., Etale homotopy, Lecture Notes in Math.100, Springer (1969). Zbl0182.26001MR245577
3. 3 Boardman, J.M. and Vogt, R.M., Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math.347, Springer (1973). Zbl0285.55012MR420609
4. 4 Borsuk, K., Theory of shape, Lecture Notes28, Mat. Inst. Aarhus Univ., 1971. Zbl0232.55021MR293602
5. 5 Bousfield, A.K. and Kan, D.M., Homotopy limits, completions and localizations, Lecture Notes in Math.304, Springer (1972). Zbl0259.55004MR365573
6. 6 Brown, K.S., Abstract homotopy theory and generalized sheaf cohomology, Trans. A.M.S.186 (1973), 419- 458. Zbl0245.55007MR341469
7. 7 Christie, D.E., Net-homotopy for compacta, Trans. A.M.S.56 (1944), 275. Zbl0060.41303MR10971
8. 8 Curtis, E.B., Simplicial homotopy theory, Lecture Note s, Mat. I nst. Aarhus Univ., 1967. Zbl0221.55011MR268888
9. 9 Dowker, C.H., Homology of relations, Ann. of Math.56 (1952), 84- 95. Zbl0046.40402MR48030
10. 10 Edwards, D.A., Etale homotopy theory and shape, Lecture Notes Math. 428Springer (1977). Zbl0315.55018MR375295
11. 11 Gabriel, P. and Zisman, M., Calculus of fractions and homotopy theory, Springer, 1967. Zbl0186.56802MR210125
12. 12 Hilton, P.J., Homotopy theory and duality, Cornell Univ.1959 and Gordon and Breach, 1965. MR198466
13. 13 Kock, A. and Wraith, G.C., Elementary toposes, Lecture Notes30, Mat. Inst. Aarhus Univ., 1971- 72. Zbl0251.18015MR342578
14. 14 Lamotke, K., Semisimpliziale algebraische Topologie, Springer, 1968. Zbl0188.28301MR245005
15. 15 Levan, J., Shape theory, Thesis (unpublished), 1973. 
16. 16 Mardesi, S., Shapes for topological spaces, General Topology and Appl.3 (1973), 265-282. Zbl0269.55008MR324638
17. 17 Mardesi, S., The Hurewicz and Whitehead theories in shape theory, Proc. Topology Conference, Charlotte N. C., 1974. Zbl0317.55009MR370563
18. 18 Mardesi S. and Segal, J., Shapes of compacta and ANR-systems, Fund. Math.72 (1971), 61- 68. MR301694
19. 19 May, J.P., Simplicial objects in algebraic topology, Van Nostrand, 1967. Zbl0165.26004MR222892
20. 20 Morita, K., On shapes of topological spaces, Fund. Math.75 (1975), Zbl0296.54034MR388385
21. 21 Porter, T., Čech homotopy I, J. London Math. Soc. (2) 6 (1973). 429- 436. Zbl0254.55012MR321080
22. 22 Porter, T., Čech homotopy II, I d em 667-675. Zbl0257.55011MR356045
23. 23 Porter, T., Čech homotopy III, Bull. London Math. Soc.6 (1974), 307- 311. Zbl0288.55005MR356046
24. 24 Porter, T., Stability results for topological spaces, Math. Z.140 (1974), 1. Zbl0275.55022MR385846
25. 25 Porter, T., 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. Zbl0295.55008MR362293
26. 26 Porter, T., Abstract homotopy theory in procategories, Cahiers Topo. et Géo. Diff.XVII-2 (1976), 113-124. Zbl0349.18012MR445496
27. 27 Porter, T., Coherent prohomotopical algebra, idemXVIII-2 (1977), 139-179. Zbl0364.18009MR470033
28. 28 Lubkin, S., On a conj ecture of A. Weil, Amer. J. Math.89 (1967), 443- 548. Zbl0208.48403MR218359
29. 29 Quillen, D., Homotopical algebra, Lecture Notes in Math.43, Springer (1967). Zbl0168.20903MR223432
30. 30 Sp Ani Er, E.M., Algebraic Topology, Mc Graw Hill, New-York, 1966. MR210112
31. 31 Sullivan, D., Geometric Topology, Part 1: Localization, periodicity and Galois symmetry, Notes M.I. T. (mimeographed), 1970. 
32. 32 Vogt, R.M., Homotopy limits and colimits, Math. Z.134 (1973), 11-53. Zbl0276.55006MR331376
33. 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). 

1. Friedrich W. Bauer, Some relations between shape constructions
2. Jean-Marc Cordier, Sur la notion de diagramme homotopiquement cohérent
3. Timothy Porter, Essential properties of pro-objects in Grothendieck categories
4. M. A. Batanin, Coherent categories with respect to monads and coherent prohomotopy theory
5. C. Elvira-Donazar, L. J. Hernandez-Paricio, A suspension theorem for the proper homotopy and strong shape theories
6. Timothy Porter, Variations on a theme of homotopy