@article{CTGDC_1993__34_4_279_0,
author = {Batanin, Mikhail A.},
title = {Coherent categories with respect to monads and coherent prohomotopy theory},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
volume = {34},
year = {1993},
pages = {279-304},
mrnumber = {1253172},
zbl = {0793.18005},
language = {en},
url = {http://dml.mathdoc.fr/item/CTGDC_1993__34_4_279_0}
}
Batanin, M. A. Coherent categories with respect to monads and coherent prohomotopy theory. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 34 (1993) pp. 279-304. http://gdmltest.u-ga.fr/item/CTGDC_1993__34_4_279_0/
1 , About the coherent prohomotopy category of Lisica-Mardesič and generalized Steenrod homology theories (Russian), Preprint 1986.
2 , A shape theory with singular homology, Pacific J. Math. 64 (1976), 25-76. | MR 436130 | Zbl 0346.55014
3 , Under what condition are shape homology E* and Steenrod homology sE* isomorphic? Lecture Notes in Math. 870, Springer (1981), 186-214. | MR 643531 | Zbl 0503.55002
4 & , Homotopy invariant algebraic structures in topological spaces, Lecture Notes in Math. 347, Springer (1973). | MR 420609 | Zbl 0285.55012
5 & , Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer (1972). | MR 365573 | Zbl 0259.55004
6 & , The homotopy spectral sequence of a space with coefficients in a ring, Topology 11 (1972), 79-106. | MR 283801 | Zbl 0202.22803
7 & , Strong shape theory and resolutions, Topology and its Appl. 15 (1983), 119-130. | MR 686090 | Zbl 0505.55012
8 , Extensions de Kan simplicialement cohérentes, Prépublications Amiens 1985.
9 , Homologie de Steenrod-Sitnikov et limites homotopiques algébriques, Manuscripta Math. 59 (1987), 35-52. | MR 901248 | Zbl 0643.55003
10 , Comparaison de deux catégories d'homotopie de morphismes cohérents, Cahiers Top. & Geom. Diff. Cat. XXX (1989), 257-275. | Numdam | MR 1029628 | Zbl 0679.55006
11 & , Vogt's Theorem on categories of homotopy coherent diagrams, Math. Proc. Cambridge Phil. Soc. 100 (1986), 65-90. | MR 838654 | Zbl 0603.55017
12 & , Cech and Steenrod homotopy theories with applications to Geometric Topology, Lecture Notes in Math. 542, Springer (1976). | MR 428322 | Zbl 0334.55001
13 & , Calculus of fractions and homotopy theory, Springer 1967. | MR 210125 | Zbl 0186.56802
14 , Basic concepts of enriched category theory, Lecture Notes in Math. 764, Springer (1982). | MR 651714
15 & , Coherent prohomotopy and strong shape theory, Glasnic Matematiči s. 111, v. 19 (1984), 335-400. | MR 790021 | Zbl 0553.55009
16 & , Strong homology of inverse systems I, Top. & its Appl. 19 (1985), 29-43. | MR 786079 | Zbl 0559.55008
17 & , Strong homology of inverse systems II, Top. & its Appl. 19 (1985), 45-64. | MR 786080 | Zbl 0559.55008
18 & , Strong homology of inverse systems III, Top. & its Appl. 20 (1985), 29-37. | MR 798442 | Zbl 0574.55005
19 , On strong theory of coshapes (Russian), Sibirski Mat. Z. 24 (1983), 81-99.
20 , Categories for the working mathematician, Springer 1971. | MR 354798 | Zbl 0705.18001
21 & , Shape Theory, North-Holland, 1982. | MR 676973 | Zbl 0495.55001
22 , The geometry of iterated loop spaces, Lecture Notes in Math. 271, Springer (1972). | MR 420610 | Zbl 0244.55009
23 , Bar and cobar constructions I, J. Pure & Appl. Algebra 33 (1984), 163-207. | MR 754954 | Zbl 0542.57036
24 , Coherent prohomotopy theory, Cahiers Top. & Geom. Diff. Cat. XIX (1978), 3-46. | Numdam | MR 496541 | Zbl 0387.55013
25 , On the two definitions of Ho(pro-C), Top. & its Appl. 28 (1988), 289-293. | MR 931529 | Zbl 0647.18008
26 , Algebraic K-theory and etale cohomology, Ann. Scient. Ecole Normale Sup. X VIII-3 (1985), 437-552. | Numdam | MR 826102 | Zbl 0596.14012
27 , Homotopy limits and colimits, Math. Z. 134 (1973), 11-53. | MR 331376 | Zbl 0276.55006