Recherche et téléchargement d’archives de revues mathématiques numérisées

 
 
  Table des matières de ce fascicule | Article suivant
Batanin, Mikhail A.
Categorical strong shape theory. Cahiers de Topologie et Géométrie Différentielle Catégoriques, 38 no. 1 (1997), p. 3-66
Texte intégral djvu | pdf | Analyses MR 1437196 | Zbl 0873.18005

URL stable: http://www.numdam.org/item?id=CTGDC_1997__38_1_3_0

Bibliographie

[1] Artin M., Mazur B., On the van Kampen Theorem, Topology, 5, pp.179-189, 1966.  MR 192495 |  Zbl 0138.18301
[2] Batanin M.A., Coherent categories with respect to monads and coherent prohomotopy theory, Cahiers Topologie et Geom. Diff., vol.XXXIV-4, pp.279-304, 1993.
Numdam |  MR 1253172 |  Zbl 0793.18005
[3] Batanin M.A., Homotopy coherent category theory and A∞structures in monoidal categories, to appear.  Zbl 0892.18003
[4] Bauer F.W., A shape theory with singular homology, Pacific J. Math., 64, pp.25-65, 1976.
Article |  MR 436130 |  Zbl 0346.55014
[5] Benabou J., Introduction to bicategories, in Lecture Notes in Math., vol.47, pp.1-77 Springer-Verlag, Berlin, Heidelberg, New York, 1967.  MR 220789
[6] Benabou J., Les distributeurs, Inst. Math. Pures and Appl., Univ. Louvain-la-Neuve, Rapport No.33, 1973.
[7] Boardman J.M., R.M.Vogt, Homotopy Invariant Algebraic Structures on Topological Spaces, Lecture Notes in Math., vol. 347, Springer-Verlag, Berlin, Heidelberg, New York, 1973.  MR 420609 |  Zbl 0285.55012
[8] Bourn D., Cordier J.-M., Distributeurs et theorie de la forme, Cahiers Topologie et Geom. Diff., 21, pp.161-189, 1980.
Numdam |  MR 574663 |  Zbl 0439.55014
[9] Bourn D., Cordier J.-M., A general formulation of homotopy limits, J.Pure Appl. Algebra, 29, pp.129-141, 1983.  MR 707615 |  Zbl 0575.55006
[10] Bousfield A.K., Kan D.M., Homotopy Limits, Completions and Localizations, Lecture Notes in Math., vol.304, Springer-Verlag, Berlin, Heidelberg, New York, 1972.  MR 365573 |  Zbl 0259.55004
[11] Cathey F.W., Segal J., Strong shape theory and resolutions, Topology Appl. 15, pp.119-130, 1983.  MR 686090 |  Zbl 0505.55012
[12] Cathey F.W., Segal J., Homotopical approach to strong shape or completion theory, Topology Appl. 21, pp.167-192, 1985.  MR 813287 |  Zbl 0588.55008
[13] Cordier J.-M., Extension de Kan simplicialement coherent, Pre-publication, Amiens, 1985.
[14] Cordier J.-M., Comparaison de deux catégories d'homotopie de morphismes cohérents, Cahiers de Topologie et Géometrie Diff. Catégoriques, vol. 30-2, pp. 257-275, 1989.
Numdam |  MR 1029628 |  Zbl 0679.55006
[15] Cordier J.-M., Porter T., Vogt's Theorem on categories of homotopy coherent diagrams, Math. Proc. Cambridge Phil. Soc., vol. 100, pp 65-90, 1986.  MR 838654 |  Zbl 0603.55017
[16] Cordier J.-M., Porter T., Shape Theory: Categorical Methods of Approximation, Ellis Horwood Limited, Chichester 1989.  MR 1000348 |  Zbl 0663.18001
[17] Cordier J.-M., Porter T., Maps between homotopy coherent diagrams, Topology and its Appl., 28, pp.255-275, 1988.  MR 931527 |  Zbl 0655.55008
[18] Cordier J.-M., Porter T., Fibrant diagrams, rectifications and a construction of Loday, J.Pure Appl.Algebra, 67, pp.111-124, 1990.  MR 1080880 |  Zbl 0715.55012
[19] Cordier J.-M., Porter T., Homotopy coherent category theory, to appear in Transactions of the AMS,  MR 1376543 |  Zbl 0865.18006
[20] Dwyer W.G., Kan D.M., Realizing diagrams in the homotopy category by means of diagrams of simplicial sets, Proc. Amer. Math. Soc., 91, pp.456-460, 1984.  MR 744648 |  Zbl 0514.55020
[21] Dwyer W.G., Kan D.M., Function complexes in homotopical algebra, Topology 19, pp.427-440, 1980.  MR 584566 |  Zbl 0438.55011
[22] Dydak J., Nowak S., Strong shape for topological spaces, Transactions of the AMS, 323, n.2, pp.765-796, 1991.  MR 986690 |  Zbl 0754.55009
[23] Edwards D.A., Hastings H.M., Čech and Steenrod Homotopy Theories with Applications to Geometric Topology, Lecture Notes in Math. 542, Springer-Verlag, Berlin, 1976.  MR 428322 |  Zbl 0334.55001
[24] Gabriel P., Zisman M., Calculus of fractions and homotopy theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, 35, Springer, 1967.  MR 210125 |  Zbl 0186.56802
[25] Grothendieck A., Pursuing Stacks, typed manuscript, (600 pp.), 1983.
[26] Günther B., The use of semisimplicial complexes in strong shape theory, Glasnik Mat., 27, pp.101-144, 1992.  MR 1230117 |  Zbl 0781.55006
[27] Günther B., Comparison of the Coherent pro-Homotopy Theories of Edwards-Hastings, Lisica-Mardešić and Günther, Glasnik Mat., 26, pp.141-176, 1991.  MR 1269184 |  Zbl 0795.55010
[28] Heller A., Homotopy in Functor Categories, Transactions AMS., v272.272, pp.185-202, 1982.  MR 656485 |  Zbl 0508.55022
[29] Heller A., Homotopies theories, Memoirs AMS., v.71, 383, AMS, Rhode Island, USA, 1988.  MR 920963 |  Zbl 0643.55015
[30] Kelly G.M., The Basic Concepts of Enriched Category Theory, London Mathematical Society Lecture Notes Series, 64, (Cambridge University Press, Cambridge), 1983.  MR 651714 |  Zbl 0478.18005
[31] Lada T.J., Strong homotopy algebras over monads, in Lecture Notes in Math., vol. 533, pp.399-479 Springer-Verlag, Berlin, Heidelberg, New York, 1976.
[32] Lisica Y.T., Mardešić S., Coherent prohomotopy and strong shape theory, Glasnik Mat., 19, pp.335-399, 1984.  MR 790021 |  Zbl 0553.55009
[33] MacLane S., Categories for the working mathematician, Graduate Texts in Math. 5, Springer-Verlag, Berlin, Heidelberg, New York, 1971.  MR 354798 |  Zbl 0232.18001
[34] MacLane S., Paré R., Coherence for bicategories and indexed categories, J. Pure Appl. Algebra, 37, pp.59-80, 1985.  MR 794793 |  Zbl 0567.18003
[35] Mardešić S., Strong expansions and strong shape theory, Topology Appl., 38, pp. 275-292, 1991.  MR 1098907 |  Zbl 0715.55008
[36] Mardešić S., Segal J., Shape theory, North-Holland, Amsterdam, 1982.  MR 676973 |  Zbl 0495.55001
[37] May J.P., The Geometry of Iterated Loop Spaces, Lecture Notes in Math., vol. 271, Springer-Verlag, Berlin, Heidelberg, New York, 1972.  MR 420610 |  Zbl 0244.55009
[38] Meyer J.-P., Bar and cobar constructions, J. Pure Applied Alg., 33, pp.163-207, 1984.  MR 754954 |  Zbl 0542.57036
[39] Porter T., Stability results for topological spaces, Math. Z., 140, pp. 1-21, 1974.
Article |  MR 385846 |  Zbl 0275.55022
[40] Porter T., On the two definitions of Ho(pro — C), Topology Appl., 28, pp. 289-293, 1988.  MR 931529 |  Zbl 0647.18008
[41] Quillen D.G., Homotopical Algebra, Lecture Notes in Math., vol. 43, Springer-Verlag, Berlin, Heidelberg, New York, 1967.  MR 223432 |  Zbl 0168.20903
[42] Schwänzl R., Vogt R., Homotopy homomorphisms and the Hammock localization, Boletin de la Soc. Mat. Mexicana, 37, 1-2, pp.431-449, 1992.  MR 1317592 |  Zbl 0853.55010
[43] Smirnov V.A., Homotopy theory of coalgebras, Math. USSR Izv., 27, pp.575-592, 1986.  MR 816858 |  Zbl 0612.55012
[44] Vogt R.M., Homotopy limits and colimits, Math. Z, 134, pp.11-52, 1973.
Article |  MR 331376 |  Zbl 0276.55006
Copyright Cellule MathDoc 2014 | Crédit | Plan du site