메뉴 건너뛰기




Volumn 40, Issue 1, 2001, Pages 1-41

Stable homotopy of algebraic theories

Author keywords

spaces; 18C10; 55U35; Algebraic theories; Andr Quillen homology; Ring spectra

Indexed keywords


EID: 0001792176     PISSN: 00409383     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0040-9383(99)00046-4     Document Type: Article
Times cited : (35)

References (41)
  • 1
    • 0002047928 scopus 로고
    • +-structures I: A free group functor for stable homotopy theory
    • + -structures I: a free group functor for stable homotopy theory Topology. 13:1974;25-45.
    • (1974) Topology , vol.13 , pp. 25-45
    • Barratt, M.G.1    Eccles, P.J.2
  • 2
    • 0345758598 scopus 로고
    • +-structures II: A recognition principle for infinite loop spaces
    • + -structures II: a recognition principle for infinite loop spaces Topology. 13:1974;113-126.
    • (1974) Topology , vol.13 , pp. 113-126
    • Barratt, M.G.1    Eccles, P.J.2
  • 10
    • 0003326140 scopus 로고
    • Homotopy limits, completions and localizations
    • Springer, Berlin
    • A.K. Bousfield, 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
  • 11
    • 0002432819 scopus 로고
    • Algébres d'Eilenberg-MacLane et homotopie
    • H. Cartan, Algébres d'Eilenberg-MacLane et homotopie, Seminaire Henri Cartan, 1954-55.
    • (1954) Seminaire Henri Cartan
    • Cartan, H.1
  • 12
    • 0001194731 scopus 로고
    • Some relations between homotopy and homology
    • Curtis E.B. Some relations between homotopy and homology. Annals of Mathematics. 83(2):1965;386-413.
    • (1965) Annals of Mathematics , vol.83 , Issue.2 , pp. 386-413
    • Curtis, E.B.1
  • 16
    • 0002839329 scopus 로고
    • Homotopy theories and model categories
    • in: I.M. James (Ed.), North-Holland, Amsterdam
    • W.G. Dwyer, J. Spalinski, Homotopy theories and model categories, in: I.M. James (Ed.), Handbook of Algebraic Topology, North-Holland, Amsterdam, 1995, pp. 73-126.
    • (1995) Handbook of Algebraic Topology , pp. 73-126
    • Dwyer, W.G.1    Spalinski, J.2
  • 17
    • 0001473028 scopus 로고
    • A Hilton-Milnor theorem for categories of simplicial algebras
    • Goerss P.G. A Hilton-Milnor theorem for categories of simplicial algebras. American Journal of Mathematics. 111:1989;927-971.
    • (1989) American Journal of Mathematics , vol.111 , pp. 927-971
    • Goerss, P.G.1
  • 19
    • 0038999999 scopus 로고
    • The homotopical foundations of algebraic K-theory. In Algebraic K-theory and algebraic number theory (Honolulu, HI, 1987)
    • Providence, RI
    • J.F. Jardine, The homotopical foundations of algebraic K -theory. In Algebraic K -theory and algebraic number theory (Honolulu, HI, 1987), Contemporary Mathematics, Vol. 83, Amer. Math. Soc., Providence, RI, 1989, pp. 57-82.
    • (1989) Contemporary Mathematics, Vol. 83, Amer. Math. Soc. , pp. 57-82
    • Jardine, J.F.1
  • 24
    • 0002191955 scopus 로고
    • Coequalizers in categories of algebras, in Sem. on Triples and Categorical Homology Theory
    • (ETH, Zürich, 1966/67), Springer, Berlin
    • F.E.J. Linton, Coequalizers in categories of algebras, in Sem. on Triples and Categorical Homology Theory (ETH, Zürich, 1966/67), Lecture Notes in Mathematics, Vol. 80, Springer, Berlin, 1969, pp. 75-90.
    • (1969) Lecture Notes in Mathematics , vol.80 , pp. 75-90
    • Linton, F.E.J.1
  • 26
    • 37949050641 scopus 로고
    • Homologie des anneaux et des modules
    • Georges Thone, Liège
    • S. MacLane, Homologie des anneaux et des modules, in Colloque de topologie algébrique, Louvain, 1956. Georges Thone, Liège, 1957, pp. 55-80.
    • (1956) In Colloque de Topologie Algébrique, Louvain , pp. 55-80
    • MacLane, S.1
  • 29
    • 0000848141 scopus 로고
    • On the construction FK
    • in: J.F. Adams (Ed.), Cambridge University Press, London, London Mathematical Society Lecture Note Series, No. 4
    • J.W. Milnor, On the construction FK, in: J.F. Adams (Ed.), Algebraic Topology - a Student's Guide, Cambridge University Press, London, 1972, pp. vi+300. London Mathematical Society Lecture Note Series, No. 4.
    • (1972) Algebraic Topology - A Student's Guide
    • Milnor, J.W.1
  • 31
    • 0001906757 scopus 로고
    • On the (co-) homology of commutative rings, in Applications of Categorical Algebra
    • New York, Amer. Math. Soc. Providence, R.I.
    • D. Quillen, On the (co-) homology of commutative rings, in Applications of Categorical Algebra (Proceedings of Symposium on Pure Mathematics, Vol. XVII, New York, 1968). Amer. Math. Soc. Providence, R.I., 1970, pp. 65-87.
    • (1968) Proceedings of Symposium on Pure Mathematics , vol.17 , pp. 65-87
    • Quillen, D.1
  • 33
  • 34
    • 0011609610 scopus 로고
    • ∞-monoids and ring spaces as closed simplical and topological model categories
    • ∞ -monoids and ring spaces as closed simplical and topological model categories Archives of Mathematics. 56:1991;405-411.
    • (1991) Archives of Mathematics , vol.56 , pp. 405-411
    • Schwänzl, R.1    Vogt, R.M.2
  • 36
    • 0031582615 scopus 로고    scopus 로고
    • Spectra in model categories and applications to the algebraic cotangent complex
    • Schwede S. Spectra in model categories and applications to the algebraic cotangent complex. Journal of Pure and Applied Algebra. 120:1997;77-104.
    • (1997) Journal of Pure and Applied Algebra , vol.120 , pp. 77-104
    • Schwede, S.1
  • 38
    • 0000959539 scopus 로고
    • Categories and cohomology theories
    • Segal G. Categories and cohomology theories. Topology. 13:1974;293-312.
    • (1974) Topology , vol.13 , pp. 293-312
    • Segal, G.1
  • 39
    • 0000672378 scopus 로고    scopus 로고
    • Symmetric spectra and topological Hochschild homology
    • to appear
    • B. Shipley, Symmetric spectra and topological Hochschild homology, to appear K-Theory.
    • K-Theory
    • Shipley, B.1
  • 40
    • 0000509008 scopus 로고
    • Infinite symmetric products, function spaces, and duality
    • [erratum, 733]
    • E. Spanier, Infinite symmetric products, function spaces, and duality, Annals of Mathematics (2) 69 (1959) 142-198[erratum, 733].
    • (1959) Annals of Mathematics , vol.69 , Issue.2 , pp. 142-198
    • Spanier, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.