Coherent categories with respect to monads and coherent prohomotopy theory
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)
- Volume: 34, Issue: 4, page 279-304
- ISSN: 1245-530X
Access Full Article
topHow to cite
topBatanin, M. A.. "Coherent categories with respect to monads and coherent prohomotopy theory." Cahiers de Topologie et Géométrie Différentielle Catégoriques 34.4 (1993): 279-304. <http://eudml.org/doc/91530>.
@article{Batanin1993,
author = {Batanin, M. A.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Kleisli categories; homotopy classes; coherent homotopy categories; unlocalised homotopy category; coherent prohomotopy},
language = {eng},
number = {4},
pages = {279-304},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Coherent categories with respect to monads and coherent prohomotopy theory},
url = {http://eudml.org/doc/91530},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Batanin, M. A.
TI - Coherent categories with respect to monads and coherent prohomotopy theory
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1993
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 34
IS - 4
SP - 279
EP - 304
LA - eng
KW - Kleisli categories; homotopy classes; coherent homotopy categories; unlocalised homotopy category; coherent prohomotopy
UR - http://eudml.org/doc/91530
ER -
References
top- 1 Batanin M.A., About the coherent prohomotopy category of Lisica-Mardesič and generalized Steenrod homology theories (Russian), Preprint 1986.
- 2 Bauer F.W., A shape theory with singular homology, Pacific J. Math.64 (1976), 25-76. Zbl0346.55014MR436130
- 3 Bauer F.W., Under what condition are shape homology E* and Steenrod homology sE* isomorphic?Lecture Notes in Math.870, Springer (1981), 186-214. Zbl0503.55002MR643531
- 4 Boardmann J.M. & Vogt R.M., Homotopy invariant algebraic structures in topological spaces, Lecture Notes in Math.347, Springer (1973). Zbl0285.55012MR420609
- 5 Bousfield A.K. & Kan D.M., Homotopy limits, completions and localizations, Lecture Notes in Math.304, Springer (1972). Zbl0259.55004MR365573
- 6 Bolisfield A.K. & Kan D.M., The homotopy spectral sequence of a space with coefficients in a ring, Topology11 (1972), 79-106. Zbl0202.22803MR283801
- 7 Cathey F.W. & Segal J., Strong shape theory and resolutions, Topology and its Appl.15 (1983), 119-130. Zbl0505.55012MR686090
- 8 Cordier J.-M., Extensions de Kan simplicialement cohérentes, Prépublications Amiens1985.
- 9 Cordier J.-M., Homologie de Steenrod-Sitnikov et limites homotopiques algébriques, Manuscripta Math. 59 (1987), 35-52. Zbl0643.55003MR901248
- 10 Cordier J.-M., Comparaison de deux catégories d'homotopie de morphismes cohérents, Cahiers Top. & Geom. Diff. Cat.XXX (1989), 257-275. Zbl0679.55006MR1029628
- 11 Cordier J.-M. & Porter T., Vogt's Theorem on categories of homotopy coherent diagrams, Math. Proc. Cambridge Phil. Soc.100 (1986), 65-90. Zbl0603.55017MR838654
- 12 Edwards P.A. & Hastings H.M., Cech and Steenrod homotopy theories with applications to Geometric Topology, Lecture Notes in Math.542, Springer (1976). Zbl0334.55001MR428322
- 13 Gabriel P.& Zisman M., Calculus of fractions and homotopy theory, Springer1967. Zbl0186.56802MR210125
- 14 Kelly G.M., Basic concepts of enriched category theory, Lecture Notes in Math.764, Springer (1982). Zbl0478.18005MR651714
- 15 Lisica J.T. & Mardesi S., Coherent prohomotopy and strong shape theory, Glasnic Matematiči s.111, v. 19 (1984), 335-400. Zbl0553.55009MR790021
- 16 Lisica J.T. & Mardesi S., Strong homology of inverse systems I, Top. & its Appl.19 (1985), 29-43. Zbl0559.55008MR786079
- 17 Lisica J.T. & Mardesic S., Strong homology of inverse systems II, Top. & its Appl.19 (1985), 45-64. Zbl0559.55008MR786080
- 18 Lisica J.T. & Mardesic S., Strong homology of inverse systems III, Top. & its Appl.20 (1985), 29-37. Zbl0574.55005MR798442
- 19 Lysica J.T., On strong theory of coshapes (Russian), Sibirski Mat. Z.24 (1983), 81-99.
- 20 Maclane S., Categories for the working mathematician, Springer1971. Zbl0705.18001MR354798
- 21 Mardesi S. & Segal J., Shape Theory, North-Holland, 1982. Zbl0495.55001MR676973
- 22 May J.P., The geometry of iterated loop spaces, Lecture Notes in Math.271, Springer (1972). Zbl0244.55009MR420610
- 23 Meyer J.P., Bar and cobar constructions I, J. Pure & Appl. Algebra33 (1984), 163-207. Zbl0542.57036MR754954
- 24 Porter T., Coherent prohomotopy theory, Cahiers Top. & Geom. Diff. Cat.XIX (1978), 3-46. Zbl0387.55013MR496541
- 25 Porter T., On the two definitions of Ho(pro-C), Top. & its Appl.28 (1988), 289-293. Zbl0647.18008MR931529
- 26 Thomason R.W., Algebraic K-theory and etale cohomology, Ann. Scient. Ecole Normale Sup. XVIII-3 (1985), 437-552. Zbl0596.14012MR826102
- 27 Vogt P. M., Homotopy limits and colimits, Math. Z.134 (1973), 11-53. Zbl0276.55006MR331376
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.