ScalingStacks

[00Q6] Higher Topos Theory

Jacob Lurie

Original source: arXiv:math/0608040v4

Chapter 3001 · Reference depth 1

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Cited by Braiding on type A Soergel bimodules: semistrictness and naturality, Factorization homology of topological manifolds, Factorization homology I: higher categories, Integral Transforms and Drinfeld Centers in Derived Algebraic Geometry, A universal characterization of higher algebraic K-theory, A Prehistory of n-Categorical Physics, Motivic Springer Theory, On nilpotent extensions of ∞-categories and the cyclotomic trace, Universality of multiplicative infinite loop space machines, Enriched ∞-categories via non-symmetric ∞-operads, Univalence in locally cartesian closed infinity-categories, Lax monoidal adjunctions, two-variable fibrations and the calculus of mates, Rectification of enriched infinity-categories, The higher Morita category of E_n-algebras, An equivalence between enriched ∞-categories and ∞-categories with weak action, (Op)lax natural transformations, twisted quantum field theories, and "even higher" Mo, A user's guide to co/cartesian fibrations, A universal characterization of noncommutative motives and secondary algebraic K-theo, The ∞-Categorical Eckmann-Hilton Argument, On d-Categories and d-Operads, Poincaré/Koszul duality, Zero-pointed manifolds, Local structures on stratified spaces, Factorization homology of stratified spaces, Chiral Koszul duality, Loop Spaces and Connections, The Character Theory of a Complex Group, A survey of (∞, 1)-categories

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References in this collection

  1. adamek · Ad\'amek and Rosicky. Locally Presentable and Accessible Categories. Cambridge University Press, Cambridge, 1994. Depth 2
  2. SGA · Théorie des Topos et cohomologie étale des schémas. Depth 2
  3. artinmazur · Étale Homotopy. Depth 2
  4. baezshul · Lectures on n-Categories and Cohomology. Depth 2
  5. berkovich · Spectral Theory and Analytic Geometry over Non-Archimedean Fields. Depth 2
  6. deligne · Beilinson, A. A., Bernstein, J. and P. Deligne. Faisceaux Pervers. Asterisuqe 100, Volume 1, 1982. Depth 2
  7. bergner · A Model Category Structure on the Category of Simplicial Categories. Depth 2
  8. bergner2 · A survey of (∞,1)-categories. Depth 2
  9. bergner3 · Rigidification of algebras over multi-sorted theories. Depth 2
  10. quasicat · Homotopy invariant Structures on topological spaces Depth 2
  11. ditopoi · Sur les Ditopos. Depth 2
  12. bousfield · The localization of spaces with respect to homology Depth 2
  13. breen · On the classification of 2-gerbes and 2-stacks. Depth 2
  14. brown · Abstract homotopy theory and generalized sheaf cohomology. Depth 2
  15. chapman · Lectures on Hilbert Cube Manifolds. Depth 2
  16. coherentnerve · Sur la notion de diagramme homotopiquement cohérent. Depth 2
  17. cordier · Homotopy Coherent Category Theory Depth 2
  18. cellmap · Dydak, J. and J. Segal. Shape Theory. Lecture Notes in Mathematics 688, Springer-Verlage, Berlin and New York, 1978. Depth 2
  19. combmodel · Combinatorial model categories have presentations Depth 2
  20. hollander · Hollander, S. and D. Isaksen. Hypercovers and simplicial presheaves Depth 2
  21. dwyerkan · Simplicial localizations of categories Depth 2
  22. goerss · Homotopy Theory of Simplicial Groupoids. Depth 2
  23. dkan7 · Realizing diagrams in the homotopy category by means of diagrams of simplicial sets. Depth 2
  24. hirsch · Hirschhorn, P.S., Kan, D. and J. Smith. Homotopy Limit Functors on Model Categories and Homotopical Categories Depth 2
  25. pasting · Ordinal subdivision and special pasting in quasicategories. Depth 2
  26. eilenbergsteenrod · Axiomatic approach to homology theory. Depth 2
  27. dimtheory · Engelking, R. Dimension Theory. North Holland Publishing Company. Amsterdam - Oxford - New York, 1978. Depth 2
  28. freitag · Étale cohomology and the Weil conjecture. Depth 2
  29. rigidgeom · Rigid analytic geometry and its applications. Depth 2
  30. fried · Étale homotopy of simplicial schemes. Depth 2
  31. giraud · Cohomologie non abelienne Depth 2
  32. goerssjardine · Goerss, Paul, and J.F. Jardine. Simplicial Homotopy Theory. Progress in Mathematics, Birkhauser, Boston, 1999. Depth 2
  33. tricat · Gordon, R., Power, A.J., and R. Street. Coherence for tricategories. Memoirs of the American Mathematical Society 116, 1995, no. 558. Depth 2
  34. tohoku · Sur Quelques points d'algebra homologique. Depth 2
  35. pursuing · A la poursuite des champs. Depth 2
  36. weakKan · The use of semisimplicial complexes in strong shape theory. Depth 2
  37. haver · Mappings between ANRs that are fine homotopy equivalences. Depth 2
  38. hirschhorn · Model categories and their localizations Depth 2
  39. hirschowitz · Descente pour les n-champs. Depth 2
  40. hovey · Model Categories. Depth 2
  41. jardine · Simplicial Presheaves. Depth 2
  42. johnstone · Johnstone, P. Stone Spaces. Cambridge University Press, Cambridge, 1982. Depth 2
  43. joyalpub · Quasi-categories and Kan complexes Depth 2
  44. joyalnotpub · Theory of quasi-categories I. Depth 2
  45. joyaltierney · Strong stacks and classifying spaces. Depth 2
  46. kashiwara · Sheaves on Manifolds. Depth 2
  47. lazard · Sur les modules plats. Depth 2
  48. leinster · A Survey of Definitions of n-Category Depth 2
  49. leinster2 · Higher Operads, Higher Categories. Depth 2
  50. DAG · Derived Algebraic Geometry. Depth 2
  51. elliptic · Elliptic Cohomology. Depth 2
  52. maclane · Categories for the Working Mathematician. Depth 2
  53. where · Sheaves in Geometry and Logic. Depth 2
  54. makkai · Accessible Categories Depth 2
  55. shapetheory · Mardesic, S. and J. Segal. Shape Theory. North-Holland, Amsterdam, 1982. Depth 2
  56. maysimp · Simplicial objects in algebraic topology. Depth 2
  57. parahomotopy · May, J. P. and J. Sigurdsson. Parametrized Homotopy Theory. Mathematical Surveys and Monographs Volume 132, AMS Bookstore, 2006. Depth 2
  58. moerdijk · Proper maps of toposes. Depth 2
  59. munkres · Munkres, J. Topology. Prentice Hall, Inc., Englewood Cliffs, New Jersey, 1975. Depth 2
  60. nichols · On Quasi-Categories as a Foundation for Higher Algebraic Stacks. Depth 2
  61. polesello · Higher Monodromy. Depth 2
  62. quillentheoremA · Higher algebraic K-theory I. Depth 2
  63. homotopicalalgebra · Homotopical Algebra. Depth 2
  64. completesegal · A model for the homotopy theory of homotopy theory Depth 1
  65. rezk · Rezk, C., Shipley, B., and S. Schwede. Simplicial structures on model categories and functors. American Journal of Mathematics, v. 123 (2001). Depth 2
  66. homotopyvarieties · On Homotopy Varieties. Depth 2
  67. schwartz · Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture. Depth 2
  68. segalhyp · Classifying spaces and spectral sequences. Depth 2
  69. serre · Cohomologie Galoisienne. Depth 2
  70. simpson · A Giraud-type characterization of the simplicial categories associated to closed model categories as ∞-pretopoi Depth 2
  71. simpson2 · A closed model structure for n-categories, internal , n-stacks and generalized Seifert-Van Kampen. Depth 2
  72. spaltenstein · Resolutions of Unbounded Complexes Depth 2
  73. stasheff · Homotopy Associativity of H-spaces I,II. Depth 2
  74. street · Street, R. Two-Dimensional Sheaf Theory. Journal of Pure and Applied Algebra 23, 1982, no. 3, 251-270. Depth 2
  75. tamsamani · On non-strict notions of n-category and n-groupoid via multisimplicial sets Depth 2
  76. toenchar · Vers une axiomatisation de la théorie des catégories supériures. Depth 2
  77. toen2 · Vers une interpretation Galoisienne de la theorie de l'homotopie. Depth 2
  78. toen · Segal topoi and stacks over Segal categories Depth 2
  79. toenvezz · Homotopical algebraic geometry I: Topos theory. Depth 2
  80. lou · van den Dries, L. Tame Topology and O-minimal Structures. Cambridge University Press, Cambridge, 1998. Depth 2
  81. wall · The finiteness obstruction of C.T.C. Wall. Depth 2
  82. filteredhomotopy · and Steenrod Homotopy Theories with Applications to Geometric Topology. Lecture Notes in Mathematics 542. Springer-Verlag, Berlin and New York, 1976. Depth 2

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