메뉴 건너뛰기




Volumn 123, Issue 1-3, 1998, Pages 67-103

Homotopy coherent category theory and a∞-structures in monoidal categories

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031616634     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(96)00084-9     Document Type: Article
Times cited : (28)

References (29)
  • 1
    • 0001586640 scopus 로고
    • On the van Kampen theorem
    • [1] M. Artin and B. Mazur, On the van Kampen theorem, Topology 5 (1966) 179-189.
    • (1966) Topology , vol.5 , pp. 179-189
    • Artin, M.1    Mazur, B.2
  • 2
    • 0001974051 scopus 로고
    • Coherent categories with respect to monads and coherent prohomotopy theory
    • [2] M.A. Batanin, Coherent categories with respect to monads and coherent prohomotopy theory, Cahiers Topologie Géom. Différentielle Catégoriques XXXIV-4 (1993) 279-304.
    • (1993) Cahiers Topologie Géom. Différentielle Catégoriques , vol.34-44 , pp. 279-304
    • Batanin, M.A.1
  • 4
    • 22244464373 scopus 로고
    • Les distributeurs
    • Inst. Math. Pures and Appl., Univ. Louvain-la-Neuve
    • [4] J. Benabou, Les distributeurs, Rapport No.33, Inst. Math. Pures and Appl., Univ. Louvain-la-Neuve, 1973.
    • (1973) Rapport No.33
    • Benabou, J.1
  • 5
    • 0003210644 scopus 로고
    • Homotopy invariant algebraic structures on topological spaces
    • Springer, Berlin
    • [5] J.M. Boardman and R.M. Vogt, Homotopy Invariant Algebraic Structures on Topological Spaces, Lecture Notes in Mathematics, Vol. 347 (Springer, Berlin, 1973).
    • (1973) Lecture Notes in Mathematics , vol.347
    • Boardman, J.M.1    Vogt, R.M.2
  • 7
    • 0003326140 scopus 로고
    • Homotopy limits, completions and localizations
    • Springer, Berlin
    • [7] A.K. Bousfield and D.M. Kan, Homotopy Limits, Completions and Localizations, Lecture Notes in Mathematics, Vol. 304 (Springer, Berlin, 1972).
    • (1972) Lecture Notes in Mathematics , vol.304
    • Bousfield, A.K.1    Kan, D.M.2
  • 9
    • 0010087663 scopus 로고
    • Comparaison de deux catégories d'homotopie de morphismes cohérents
    • [9] J.M. Cordier, Comparaison de deux catégories d'homotopie de morphismes cohérents, Cahiers Topologie Géom. Différentielle Catégoriques 30-2 (1989) 257-275.
    • (1989) Cahiers Topologie Géom. Différentielle Catégoriques , vol.30 , Issue.2 , pp. 257-275
    • Cordier, J.M.1
  • 10
    • 84974040578 scopus 로고
    • Vogt's theorem on categories of homotopy coherent diagrams
    • [10] J.M. Cordier and T. Porter, Vogt's theorem on categories of homotopy coherent diagrams, Math. Proc. Cambridge Phil. Soc. 100 (1986) 65-90.
    • (1986) Math. Proc. Cambridge Phil. Soc. , vol.100 , pp. 65-90
    • Cordier, J.M.1    Porter, T.2
  • 14
    • 84974004311 scopus 로고
    • Kozsul duality for operads
    • [14] V. Ginzburg and M.M. Kapranov, Kozsul duality for operads, Duke Math. J. 76 (1994) 203-273.
    • (1994) Duke Math. J. , vol.76 , pp. 203-273
    • Ginzburg, V.1    Kapranov, M.M.2
  • 15
    • 0000232625 scopus 로고
    • The use of semisimplicial complexes in strong shape theory
    • [15] B. Günther, The use of semisimplicial complexes in strong shape theory, Glasnik Mat. 27 (1992) 101-144.
    • (1992) Glasnik Mat. , vol.27 , pp. 101-144
    • Günther, B.1
  • 16
    • 0003840908 scopus 로고
    • London Mathematical Society Lecture Notes Series Cambridge University Press, Cambridge
    • [16] G.M. Kelly, The Basic Concepts of Enriched Category Theory, London Mathematical Society Lecture Notes Series, Vol. 64 (Cambridge University Press, Cambridge. 1983).
    • (1983) The Basic Concepts of Enriched Category Theory , vol.64
    • Kelly, G.M.1
  • 17
    • 0010125369 scopus 로고
    • Strong homotopy algebras over monads
    • Springer, Berlin
    • [17] T.J. Lada, Strong homotopy algebras over monads, in: Lecture Notes in Mathematics, Vol. 533 (Springer, Berlin, 1976) 399-479.
    • (1976) Lecture Notes in Mathematics , vol.533 , pp. 399-479
    • Lada, T.J.1
  • 18
    • 0010179759 scopus 로고
    • Coherent prohomotopy and strong shape theory
    • [18] Y.T. Lisica and S. Mardesic, Coherent prohomotopy and strong shape theory, Glasnik Mat. 19 (1984) 335-399.
    • (1984) Glasnik Mat. , vol.19 , pp. 335-399
    • Lisica, Y.T.1    Mardesic, S.2
  • 19
    • 0003356530 scopus 로고
    • Categories for the working mathematician
    • Springer, Berlin
    • [19] S. MacLane, Categories for the Working Mathematician, Graduate Texts in Mathematics Vol. 5 (Springer, Berlin, 1971).
    • (1971) Graduate Texts in Mathematics , vol.5
    • MacLane, S.1
  • 20
    • 0003330993 scopus 로고
    • The geometry of iterated loop spaces
    • Springer, Berlin
    • [20] J.P. May, The Geometry of Iterated Loop Spaces, Lecture Notes in Mathematics, Vol. 271 (Springer, Berlin, 1972).
    • (1972) Lecture Notes in Mathematics , vol.271
    • May, J.P.1
  • 21
    • 0000810375 scopus 로고
    • Bar and cobar constructions
    • [21] J.-P. Meyer, Bar and cobar constructions, J. Pure Appl. Algebra 33 (1984) 163-207.
    • (1984) J. Pure Appl. Algebra , vol.33 , pp. 163-207
    • Meyer, J.-P.1
  • 22
  • 23
    • 0010089905 scopus 로고
    • Homotopy homomorphisms and the Hammock localization
    • [23] R. Schwänzl and R. Vogt, Homotopy homomorphisms and the Hammock localization, Boletin Soc. Mat. Mexicana 37 (1992) 431-449.
    • (1992) Boletin Soc. Mat. Mexicana , vol.37 , pp. 431-449
    • Schwänzl, R.1    Vogt, R.2
  • 24
    • 0001668281 scopus 로고
    • Homotopy theory of coalgebras
    • [24] V.A. Smirnov, Homotopy theory of coalgebras, Math. USSR Izv. 27 (1986) 575-592.
    • (1986) Math. USSR Izv. , vol.27 , pp. 575-592
    • Smirnov, V.A.1
  • 25
    • 84968509262 scopus 로고
    • Homotopy associativity of H-spaces, I
    • [25] J.D. Stasheff, Homotopy associativity of H-spaces, I, Trans. Amer. Math. Soc. 108 (1963) 275-292.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 275-292
    • Stasheff, J.D.1
  • 26
    • 0000509597 scopus 로고
    • A convenient category of topological spaces
    • [26] N.E. Steenrod, A convenient category of topological spaces, Michigan Math. J. 14 (1967) 133-152.
    • (1967) Michigan Math. J. , vol.14 , pp. 133-152
    • Steenrod, N.E.1
  • 27
    • 84972574938 scopus 로고
    • Uniqueness of delooping machines
    • [27] R.W. Thomason, Uniqueness of delooping machines, Duke Math. J. 46 (1979) 217-252.
    • (1979) Duke Math. J. , vol.46 , pp. 217-252
    • Thomason, R.W.1
  • 28
    • 84968481838 scopus 로고
    • A note on homotopy equivalences
    • [28] R.M. Vogt, A note on homotopy equivalences, Proc. Amer. Math. Soc. 32 (1972) 627-629.
    • (1972) Proc. Amer. Math. Soc. , vol.32 , pp. 627-629
    • Vogt, R.M.1
  • 29
    • 0002657457 scopus 로고
    • Homotopy limits and colimits
    • [29] R.M. Vogt, Homotopy limits and colimits, Math. Z. 134 (1973) 11-52.
    • (1973) Math. Z. , vol.134 , pp. 11-52
    • Vogt, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.