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Volumn , Issue 170, 2009, Pages 1-243

Higher topos theory

(1)  Lurie, Jacob a  

a NONE

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EID: 78649602363     PISSN: 00662313     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Review
Times cited : (1272)

References (82)
  • 2
    • 0002717932 scopus 로고
    • Théorie des Topos et Cohomologie Étale des Schémas
    • Springer-Verlag, Berlin and New York
    • Artin, M. Théorie des Topos et Cohomologie Étale des Schémas. SGA 4. Lecture Notes in Mathematics 269. Springer-Verlag, Berlin and New York, 1972.
    • (1972) SGA 4. Lecture Notes in Mathematics , vol.269
    • Artin, M.1
  • 3
    • 0003355754 scopus 로고
    • Etale homotopy
    • Springer-Verlag, Berlin and New York
    • Artin, M., and B. Mazur. Etale Homotopy. Lecture Notes in Mathematics 100. Springer-Verlag, Berlin and New York, 1969.
    • (1969) Lecture Notes in Mathematics , vol.100
    • Artin, M.1    Mazur, B.2
  • 5
    • 0003254879 scopus 로고
    • Spectral theory and analytic geometry over nonarchimedean fields
    • American Mathematical Society, Providence, R.I
    • Berkovich, V. Spectral Theory and Analytic Geometry over NonArchimedean Fields. Mathematical Surveys and Monographs 33. American Mathematical Society, Providence, R.I., 1990.
    • (1990) Mathematical Surveys and Monographs , vol.33
    • Berkovich, V.1
  • 7
    • 34247592129 scopus 로고    scopus 로고
    • A model category structure on the category of simplicial categories
    • Bergner, J.E. A model category structure on the category of simplicial categories. Trans. Amer. Math. Soc. 359, 2007, 2043-2058.
    • (2007) Trans. Amer. Math. Soc. , vol.359 , pp. 2043-2058
    • Bergner, J.E.1
  • 9
    • 34247632344 scopus 로고    scopus 로고
    • Rigidification of algebras over multi-sorted theories
    • Bergner, J.E. Rigidification of algebras over multi-sorted theories. Algebr. Geom. Topol. 6, 2006, 1925-1955.
    • (2006) Algebr. Geom. Topol. , vol.6 , pp. 1925-1955
    • Bergner, J.E.1
  • 10
    • 0040346984 scopus 로고
    • Homotopy invariant structures on topological spaces
    • Springer-Verlag, Berlin and New York
    • Boardman, J.M., and R.M. Vogt. Homotopy Invariant Structures on Topological Spaces. Lecture Notes in Mathematics 347. Springer-Verlag, Berlin and New York, 1973.
    • (1973) Lecture Notes in Mathematics , vol.347
    • Boardman, J.M.1    Vogt, R.M.2
  • 12
    • 0000658731 scopus 로고
    • The localization of spaces with respect to homology
    • Bousfield, A.K. The localization of spaces with respect to homology. Topology 14, 1975, 133-150.
    • (1975) Topology , vol.14 , pp. 133-150
    • Bousfield, A.K.1
  • 13
    • 0001990148 scopus 로고
    • On the classification of 2-gerbes and 2-stacks
    • Breen, L. On the classification of 2-gerbes and 2-stacks. Asterisque 225, 1994, 1-160.
    • (1994) Asterisque , vol.225 , pp. 1-160
    • Breen, L.1
  • 14
    • 0001307082 scopus 로고
    • Abstract homotopy theory and generalized sheaf cohomology
    • Brown, K. Abstract homotopy theory and generalized sheaf cohomology. Trans. Amer. Math. Soc. 186, 1973, 419-458.
    • (1973) Trans. Amer. Math. Soc. , vol.186 , pp. 419-458
    • Brown, K.1
  • 16
    • 0010885388 scopus 로고
    • Sur la notion de diagramme homotopiquement cohérent
    • Cordier, J.M. Sur la notion de diagramme homotopiquement cohérent. Cah. Topol. Géom. Differ. 23 (1), 1982, 93-112.
    • (1982) Cah. Topol. Géom. Differ. , vol.23 , Issue.1 , pp. 93-112
    • Cordier, J.M.1
  • 17
    • 21444438225 scopus 로고    scopus 로고
    • Homotopy coherent category theory
    • Cordier, J.M., and T. Porter. Homotopy coherent category theory. Trans. Amer. Math. Soc. 349 (1), 1997, 1-54.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , Issue.1 , pp. 1-54
    • Cordier, J.M.1    Porter, T.2
  • 18
    • 15844409334 scopus 로고
    • Shape theory
    • Springer-Verlag, Berlin and New York
    • Dydak, J., and J. Segal. Shape Theory. Lecture Notes in Mathematics 688. Springer-Verlag, Berlin and New York, 1978.
    • (1978) Lecture Notes in Mathematics , vol.688
    • Dydak, J.1    Segal, J.2
  • 19
    • 0035688422 scopus 로고    scopus 로고
    • Combinatorial model categories have presentations
    • Dugger, D. Combinatorial model categories have presentations. Adv. Math. 164, 2001, 177-201.
    • (2001) Adv. Math. , vol.164 , pp. 177-201
    • Dugger, D.1
  • 21
    • 0001807068 scopus 로고
    • Simplicial localizations of categories
    • Dwyer, W.G. and D.M. Kan. Simplicial localizations of categories. J. Pure Appl. Algebra 17, (1980), 267-284.
    • (1980) J. Pure Appl. Algebra , vol.17 , pp. 267-284
    • Dwyer, W.G.1    Kan, D.M.2
  • 23
    • 0009926033 scopus 로고
    • Realizing diagrams in the homotopy category by means of diagrams of simplicial sets
    • Dwyer, W.G., and D. M. Kan. Realizing diagrams in the homotopy category by means of diagrams of simplicial sets. Proc. Amer. Math. Soc. 91 (3), 1984, 456-460.
    • (1984) Proc. Amer. Math. Soc. , vol.91 , Issue.3 , pp. 456-460
    • Dwyer, W.G.1    Kan, D.M.2
  • 24
    • 21244501915 scopus 로고    scopus 로고
    • Homotopy limit functors on model categories and homotopical categories
    • American Mathematical Society, Providence, R.I
    • Dwyer, W.G., P.S. Hirschhorn, D. Kan, and J. Smith. Homotopy Limit Functors on Model Categories and Homotopical Categories. Mathematical Surveys and Monographs 113. American Mathematical Society, Providence, R.I., 2004.
    • (2004) Mathematical Surveys and Monographs , vol.113
    • Dwyer, W.G.1    Hirschhorn, P.S.2    Kan, D.3    Smith, J.4
  • 25
    • 36048930509 scopus 로고    scopus 로고
    • Ordinal subdivision and special pasting in quasicategories
    • Ehlers, P.J., and T. Porter. Ordinal subdivision and special pasting in quasicategories. Adv. Math. 217, 2007, 489-518.
    • (2007) Adv. Math. , vol.217 , pp. 489-518
    • Ehlers, P.J.1    Porter, T.2
  • 27
    • 0003748127 scopus 로고
    • North-Holland, Amsterdam, Oxford, and New York
    • Engelking, R. Dimension Theory. North-Holland, Amsterdam, Oxford, and New York, 1978.
    • (1978) Dimension Theory.
    • Engelking, R.1
  • 30
    • 0003323690 scopus 로고
    • Etale homotopy of simplicial schemes
    • Princeton University Press, Princeton, N.J
    • Friedlander, E. Etale Homotopy of Simplicial Schemes. Annals of Mathematics Studies 104. Princeton University Press, Princeton, N.J.,1982.
    • (1982) Annals of Mathematics Studies , vol.104
    • Friedlander, E.1
  • 33
    • 0001646106 scopus 로고
    • Coherence for tricategories
    • American Mathematical Society, Providence, R.I
    • Gordon, R., A.J. Power, and R. Street. Coherence for Tricategories. Mem. Amer. Math. Soc. 117(558), American Mathematical Society, Providence, R.I., 1995.
    • (1995) Mem. Amer. Math. Soc. , vol.117 , Issue.558
    • Gordon, R.1    Power, A.J.2    Street, R.3
  • 34
    • 84972570012 scopus 로고
    • Sur quelques points d'algebra homologique
    • Grothendieck, A. Sur quelques points d'algebra homologique. Tohoku Math. J. 9, 1957, 119-221.
    • (1957) Tohoku Math. J. , vol.9 , pp. 119-221
    • Grothendieck, A.1
  • 36
    • 0000232625 scopus 로고
    • The use of semisimplicial complexes in strong shape theory
    • Günther, B. The use of semisimplicial complexes in strong shape theory. Glas. Mat. 27(47), 1992, 101-144.
    • (1992) Glas. Mat. , vol.27 , Issue.47 , pp. 101-144
    • Günther, B.1
  • 37
    • 84972582923 scopus 로고
    • Mappings between ANRs that are fine homotopy equivalences
    • Haver, W. Mappings between ANRs that are fine homotopy equivalences. Pacific J. Math. 58, 1975, 457-461.
    • (1975) Pacific J. Math. , vol.58 , pp. 457-461
    • Haver, W.1
  • 38
    • 0344846490 scopus 로고    scopus 로고
    • Model categories and their localizations
    • American Mathematical Society, Providence, R.I
    • Hirschhorn, P. Model Categories and Their Localizations. Mathematical Surveys and Monographs 99. American Mathematical Society, Providence, R.I., 2003.
    • (2003) Mathematical Surveys and Monographs , vol.99
    • Hirschhorn, P.1
  • 40
    • 0003558045 scopus 로고    scopus 로고
    • American Mathematical Society, Providence, R.I
    • Hovey, M. Model Categories. American Mathematical Society, Providence, R.I., 1998.
    • (1998) Model Categories
    • Hovey, M.1
  • 41
    • 0002042207 scopus 로고
    • Simplicial presheaves
    • Jardine, J.F. Simplicial Presheaves. J. Pure Appl. Algebra 47(1), 1987, 35-87.
    • (1987) J. Pure Appl. Algebra , vol.47 , Issue.1 , pp. 35-87
    • Jardine, J.F.1
  • 42
    • 0004072372 scopus 로고
    • Cambridge University Press, Cambridge
    • Johnstone, P. Stone Spaces. Cambridge University Press, Cambridge, 1982.
    • (1982) Stone Spaces
    • Johnstone, P.1
  • 43
    • 0037044687 scopus 로고    scopus 로고
    • Quasi-categories and Kan complexes
    • Joyal, A. Quasi-categories and Kan complexes. J. Pure Appl. Algebra 175, 2005, 207-222.
    • (2005) J. Pure Appl. Algebra , vol.175 , pp. 207-222
    • Joyal, A.1
  • 45
    • 0001419499 scopus 로고
    • Strong stacks and classifying spaces
    • Springer-Verlag, Berlin and New York
    • Joyal, A., and M. Tierney. Strong Stacks and Classifying Spaces. Lecture Notes in Mathematics 1488. Springer-Verlag, Berlin and New York, 1991, 213-236.
    • (1991) Lecture Notes in Mathematics , vol.1488 , pp. 213-236
    • Joyal, A.1    Tierney, M.2
  • 47
    • 0011493070 scopus 로고
    • Sur les modules plats
    • Lazard, D. Sur les modules plats. C.R. Acad. Sci. Paris 258, 1964, 6313-6316.
    • (1964) C.R. Acad. Sci. Paris , vol.258 , pp. 6313-6316
    • Lazard, D.1
  • 48
    • 0242474745 scopus 로고    scopus 로고
    • A survey of definitions of n-category
    • Leinster, T. A survey of definitions of n-category. Theor. Appl. Categ. 10(1), 2002, 1-70.
    • (2002) Theor. Appl. Categ. , vol.10 , Issue.1 , pp. 1-70
    • Leinster, T.1
  • 49
    • 27944492650 scopus 로고    scopus 로고
    • Higher operads, higher categories
    • Cambridge University Press, Cambridge
    • Leinster, T. Higher Operads, Higher Categories. London Mathematical Society Lecture Note Series 298. Cambridge University Press, Cambridge, 2004.
    • (2004) London Mathematical Society Lecture Note Series , vol.298
    • Leinster, T.1
  • 52
    • 0037805003 scopus 로고    scopus 로고
    • Categories for the working mathematician
    • 2nd ed. Springer-Verlag, Berlin and New York
    • MacLane, S. Categories for the Working Mathematician. 2nd ed. Graduate Texts in Mathematics 5. Springer-Verlag, Berlin and New York, 1998.
    • (1998) Graduate Texts in Mathematics , vol.5
    • MacLane, S.1
  • 54
    • 0041385248 scopus 로고
    • Accessible categories
    • American Mathematical Society, Providence, R.I
    • Makkai, M., and R. Pare. Accessible Categories. Contemporary Mathematics 104. American Mathematical Society, Providence, R.I., 1989.
    • (1989) Contemporary Mathematics , vol.104
    • Makkai, M.1    Pare, R.2
  • 56
    • 0003728536 scopus 로고
    • Simplicial objects in algebraic topology
    • University of Chicago Press, Chicago
    • May, J.P. Simplicial Objects in Algebraic Topology. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, 1993.
    • (1993) Chicago Lectures in Mathematics
    • May, J.P.1
  • 57
    • 38049054771 scopus 로고    scopus 로고
    • Parametrized homotopy theory
    • American Mathematical Society, Providence, R.I
    • May, J.P., and J. Sigurdsson. Parametrized Homotopy Theory. Mathematical Surveys and Monographs 132, American Mathematical Society, Providence, R.I., 2006.
    • (2006) Mathematical Surveys and Monographs , vol.132
    • May, J.P.1    Sigurdsson, J.2
  • 58
  • 59
    • 0003391817 scopus 로고
    • Prentice Hall, Englewood Cliffs, N.J
    • Munkres, J. Topology. Prentice Hall, Englewood Cliffs, N.J., 1975.
    • (1975) Topology
    • Munkres, J.1
  • 62
    • 0000790004 scopus 로고
    • Higher Algebraic K-theory i
    • Algebraic K-theory I: Higher K-Theories, Springer, Berlin
    • Quillen, D. Higher Algebraic K-theory I. In "Algebraic K-theory I: Higher K-Theories," Lecture Notes in Mathematics 341. Springer, Berlin, 1973.
    • (1973) Lecture Notes in Mathematics , vol.341
    • Quillen, D.1
  • 63
    • 0003232105 scopus 로고
    • Homotopical algebra
    • SpringerVerlag, Berlin and New York
    • Quillen, D. Homotopical Algebra. Lectures Notes in Mathematics 43. SpringerVerlag, Berlin and New York, 1967.
    • (1967) Lectures Notes in Mathematics , vol.43
    • Quillen, D.1
  • 64
    • 27244434880 scopus 로고    scopus 로고
    • A model for the homotopy theory of homotopy theory
    • Rezk, C. A model for the homotopy theory of homotopy theory. Trans. Amer. Math. Soc. 35(3), 2001, 973-1007.
    • (2001) Trans. Amer. Math. Soc. , vol.35 , Issue.3 , pp. 973-1007
    • Rezk, C.1
  • 65
    • 0035373928 scopus 로고    scopus 로고
    • Simplicial structures on model categories and functors
    • Rezk, C., Shipley, B., and S. Schwede. Simplicial structures on model categories and functors. Amer. J. Math. 123, 2001, 551-575.
    • (2001) Amer. J. Math. , vol.123 , pp. 551-575
    • Rezk, C.1    Shipley, B.2    Schwede, S.3
  • 66
    • 34447135038 scopus 로고    scopus 로고
    • On homotopy varieties
    • Rosicky, J. On Homotopy Varieties. Adv. Math. 214(2), 2007, 525-550.
    • (2007) Adv. Math. , vol.214 , Issue.2 , pp. 525-550
    • Rosicky, J.1
  • 67
    • 0003303430 scopus 로고
    • Unstable modules over the steenrod algebra and sullivan's fixed point set conjecture
    • Chicago University Press, Chicago
    • Schwartz, L. Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture. Chicago Lectures in Mathematics. Chicago University Press, Chicago, 1994.
    • (1994) Chicago Lectures in Mathematics
    • Schwartz, L.1
  • 68
    • 51649180460 scopus 로고
    • Classifying spaces and spectral sequences
    • Segal, G. Classifying spaces and spectral sequences. Inst. Hautes Etudes Sci. Publ. Math. 34, 1968, 105-112.
    • (1968) Inst. Hautes Etudes Sci. Publ. Math. , vol.34 , pp. 105-112
    • Segal, G.1
  • 69
    • 0003342502 scopus 로고
    • Cohomologie galoisienne
    • Springer-Verlag, Berlin and New York
    • Serre, J.P. Cohomologie Galoisienne. Lecture Notes in Mathematics 5. Springer-Verlag, Berlin and New York, 1964.
    • (1964) Lecture Notes in Mathematics , vol.5
    • Serre, J.P.1
  • 72
    • 0001560098 scopus 로고
    • Resolutions of unbounded complexes
    • Spaltenstein, N. Resolutions of Unbounded Complexes. Compos. Math. 65(2), 1988, 121-154.
    • (1988) Compos. Math. , vol.65 , Issue.2 , pp. 121-154
    • Spaltenstein, N.1
  • 73
    • 0000767104 scopus 로고
    • Homotopy associativity of H-spaces I, II
    • Stasheff, J. Homotopy associativity of H-spaces I, II. Trans. Amer. Math. Soc. 108, 1963, 275-312.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 275-312
    • Stasheff, J.1
  • 74
    • 0000476573 scopus 로고
    • Two-dimensional sheaf theory
    • Street, R. Two-dimensional sheaf theory. J. Pure Appl. Algebra 23(3), 1982, 251-270.
    • (1982) J. Pure Appl. Algebra , vol.23 , Issue.3 , pp. 251-270
    • Street, R.1
  • 76
    • 27244457904 scopus 로고    scopus 로고
    • Vers une axiomatisation de la théorie des catégories supériures
    • Toen, B. Vers une axiomatisation de la théorie des catégories supériures. K-theory 34(3), 2005, 233-263.
    • (2005) K-theory , vol.34 , Issue.3 , pp. 233-263
    • Toen, B.1
  • 77
    • 16244404366 scopus 로고    scopus 로고
    • Vers une interpretation Galoisienne de la théorie de l'homotopie
    • Toën, B. Vers une interpretation Galoisienne de la théorie de l'homotopie. Cah. topol. geom. differ, categ. 43, 2002, 257-312.
    • (2002) Cah. Topol. Geom. Differ, Categ. , vol.43 , pp. 257-312
    • Toën, B.1
  • 79
    • 16244419036 scopus 로고    scopus 로고
    • Homotopical algebraic geometry I: Topos theory
    • Toën, B. and G. Vezzosi. Homotopical algebraic geometry I: Topos theory. Advances in Mathematics 193 (2005), no. 2, 257-372.
    • (2005) Advances in Mathematics , vol.193 , Issue.2 , pp. 257-372
    • Toën, B.1    Vezzosi, G.2
  • 81
    • 0002969457 scopus 로고
    • Finiteness conditions for CW-complexes
    • Wall, C.T.C. Finiteness conditions for CW-complexes. Ann. Math. 81, 1965, 56-69.
    • (1965) Ann. Math. , vol.81 , pp. 56-69
    • Wall, C.T.C.1
  • 82
    • 0003335646 scopus 로고
    • Cech and steenrod homotopy theories with applications to geometric topology
    • Springer-Verlag, Berlin and New York
    • Cech and Steenrod Homotopy Theories with Applications to Geometric Topology. Lecture Notes in Mathematics 542. Springer-Verlag, Berlin and New York, 1976.
    • (1976) Lecture Notes in Mathematics , vol.542


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