Bibliography

A

• Adámek, J. and Rosický, J., On sifted colimits and generalized varieties.
• Adámek, Jiří and Rosický, Jiří, Locally presentable and accessible categories.
• Arone, Greg and Ching, Michael, Operads and chain rules for the calculus of functors.
• Arone, Greg and Mahowald, Mark, The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres.
• Artin, M. and Mazur, B., Etale homotopy.
• Atiyah, M. F., Characters and cohomology of finite groups.
• Atiyah, M. F. and Segal, G. B., Equivariant $K$-theory and completion.

B

• Bénabou, Jean, Introduction to bicategories.
• Baez, John C. and Shulman, Michael, Lectures on $n$-categories and cohomology.
• Barratt, M. G. and Gugenheim, V. K. A. M. and Moore, J. C., On Semisimplicial Fibre-Bundles.
• Barwick, Clark and Glasman, Saul and Nardin, Denis, Dualizing cartesian and cocartesian fibrations.
• Bergner, Julia E., A model category structure on the category of simplicial categories.
• Bergner, Julia E., A survey of $(\infty ,1)$-categories.
• Bergner, Julia E., Rigidification of algebras over multi-sorted theories.
• Berkovich, Vladimir G., Spectral theory and analytic geometry over non-Archimedean fields.
• Besser, Amnon, A simple approach to geometric realization of simplicial and cyclic sets.
• Beĭlinson, A. A. and Bernstein, J. and Deligne, P., Faisceaux pervers.
• Boardman, J. M. and Vogt, R. M., Homotopy invariant algebraic structures on topological spaces.
• Bohmann, Anna Marie, Global orthogonal spectra.
• Bourn, Dominique, Sur les ditopos.
• Bousfield, A. K., The localization of spaces with respect to homology.
• Bousfield, A. K. and Kan, D. M., Homotopy limits, completions and localizations.
• Breen, Lawrence, On the classification of $2$-gerbes and $2$-stacks.
• Brown, Kenneth S., Abstract homotopy theory and generalized sheaf cohomology.
• Brown, R., Groupoids and van Kampen's theorem.

C

• Campbell, Alexander, A counterexample in quasi-category theory.
• Chapman, T. A., Lectures on Hilbert cube manifolds.
• Ching, Michael, A chain rule for Goodwillie derivatives of functors from spectra to spectra.
• Ching, Michael, Bar constructions for topological operads and the Goodwillie derivatives of the identity.
• Ching, Michael, Bar-cobar duality for operads in stable homotopy theory.
• Cockett, R. and Guo, X., Join restriction categories and the importance of being adhesive.
• Cohen, Paul, The independence of the continuum hypothesis.
• Cohen, Paul J., The independence of the continuum hypothesis. II.
• Cordier, Jean-Marc, Sur la notion de diagramme homotopiquement cohérent.
• Cordier, Jean-Marc and Porter, Timothy, Homotopy coherent category theory.
• Cordier, Jean-Marc and Porter, Timothy, Vogt's theorem on categories of homotopy coherent diagrams.

D

• Deligne, P., Action du groupe des tresses sur une catégorie.
• Deligne, Pierre, Équations différentielles à points singuliers réguliers.
• Dold, Albrecht, Homology of symmetric products and other functors of complexes.
• Dowker, C. H., Topology of metric complexes.
• Drinfeld, Vladimir, On the notion of geometric realization.
• Dugger, Daniel, Combinatorial model categories have presentations.
• Dugger, Daniel and Hollander, Sharon and Isaksen, Daniel C., Hypercovers and simplicial presheaves.
• Duskin, John W., Simplicial matrices and the nerves of weak $n$-categories. I. Nerves of bicategories.
• Dwyer, W. G. and Kan, D. M., Homotopy theory and simplicial groupoids.
• Dwyer, W. G. and Kan, D. M., Realizing diagrams in the homotopy category by means of diagrams of simplicial sets.
• Dwyer, W. G. and Kan, D. M., Simplicial localizations of categories.
• Dwyer, William G. and Hirschhorn, Philip S. and Kan, Daniel M. and Smith, Jeffrey H., Homotopy limit functors on model categories and homotopical categories.
• Dydak, Jerzy and Segal, Jack, Shape theory.

E

• Edwards, David A. and Hastings, Harold M., Čech and Steenrod homotopy theories with applications to geometric topology.
• Ehlers, Philip John and Porter, Timothy, Ordinal subdivision and special pasting in quasicategories.
• Eilenberg, Samuel and Mac Lane, Saunders, On the groups $H(\Pi ,n)$. I.
• Eilenberg, Samuel and Steenrod, Norman E., Axiomatic approach to homology theory.
• Eilenberg, Samuel and Zilber, J. A., On products of complexes.
• Eilenberg, Samuel and Zilber, J. A., Semi-simplicial complexes and singular homology.
• Engelking, Ryszard, Dimension theory.

F

• Faonte, Giovanni, Simplicial nerve of an $\mathcal A_\infty $-category.
• Freitag, Eberhard and Kiehl, Reinhardt, Étale cohomology and the Weil conjecture.
• Fresnel, Jean and van der Put, Marius, Rigid analytic geometry and its applications.
• Freyd, Peter and Heller, Alex, Splitting homotopy idempotents II.
• Friedlander, Eric M., Étale homotopy of simplicial schemes.
• Fukaya, Kenji, Floer homology and mirror symmetry. II.

G

• Gödel, Kurt, The Consistency of the Continuum Hypothesis.
• Gabriel, P. and Zisman, M., Calculus of fractions and homotopy theory.
• Gagna, Andrea and Harpaz, Yonatan and Lanari, Edoardo, On the equivalence of all models for $(\infty ,2)$-categories.
• Gaitsgory, Dennis and Rozenblyum, Nick, Crystals and D-modules.
• Giever, John B., On the equivalence of two singular homology theories.
• Giraud, Jean, Cohomologie non abélienne.
• Glasman, Saul, Day convolution for ∞-categories.
• Goerss, Paul G. and Jardine, John F., Simplicial homotopy theory.
• Goodwillie, Thomas G., Calculus. I. The first derivative of pseudoisotopy theory.
• Goodwillie, Thomas G., Calculus. II. Analytic functors.
• Goodwillie, Thomas G., Calculus. III. Taylor series.
• Gordon, R. and Power, A. J. and Street, Ross, Coherence for tricategories.
• Grayson, Daniel, Algebraic K-theory.
• Greenlees, J. P. C. and May, J. P., Localization and completion theorems for $M\rm U$-module spectra.
• Grothendieck, A., Crystals and the de Rham cohomology of schemes.
• Grothendieck, A., On the de Rham cohomology of algebraic varieties.
• Grothendieck, Alexander, Revêtements étales et groupe fondamental. Fasc. II: Exposés 6, 8 à 11.
• Grothendieck, Alexander, Sur quelques points d'algèbre homologique.
• Günther, Bernd, The use of semisimplicial complexes in strong shape theory.

H

• Haver, William E., Mappings between $\rm ANR$s that are fine homotopy equivalences.
• Herrera, M. and Lieberman, D., Duality and the de Rham cohomology of infinitesimal neighborhoods.
• Heuts, Gijs and Moerdijk, Ieke, Left fibrations and homotopy colimits.
• Hirschhorn, Philip S., Model categories and their localizations.
• Hopkins, Michael J. and Kuhn, Nicholas J. and Ravenel, Douglas C., Generalized group characters and complex oriented cohomology theories.
• Hovey, Mark, Model categories.

I

• Isbell, J. R., Adequate subcategories.

J

• Jardine, J. F., Simplicial presheaves.
• Johnson, Brenda, The derivatives of homotopy theory.
• Johnstone, Peter T., Stone spaces.
• Joyal, A., Quasi-categories and Kan complexes.
• Joyal, André, Notes on quasi-categories..
• Joyal, André, The Theory of Quasi-Categories and its Applications..
• Joyal, André and Tierney, Myles, Strong stacks and classifying spaces.

K

• Körschgen, Alexander, A comparison of two models of orbispaces.
• Kan, Daniel M., A combinatorial definition of homotopy groups.
• Kan, Daniel M., Adjoint functors.
• Kan, Daniel M., Functors involving c.s.s. complexes.
• Kan, Daniel M., On c. s. s. complexes.
• Kan, Daniel M., On c.s.s. Complexes.
• Kapulkin, Chris and Lumsdaine, Peter LeFanu and Voevodsky, Vladimir, Univalence in Simplicial Sets.
• Kashiwara, M., Faisceaux constructibles et systèmes holonômes d'équations aux dérivées partielles linéaires à points singuliers réguliers.
• Kashiwara, Masaki, The Riemann-Hilbert problem for holonomic systems.
• Kashiwara, Masaki and Schapira, Pierre, Sheaves on manifolds.
• Kock, Joachim, Elementary remarks on units in monoidal categories.

L

• Lazard, Daniel, Sur les modules plats.
• Leinster, Tom, A survey of definitions of $n$-category.
• Leinster, Tom, Higher operads, higher categories.
• Leitch, R. D., The homotopy commutative cube.
• Lurie, Jacob, Higher topos theory.

M

• Mac Lane, Saunders, Categories for the working mathematician.
• Mac Lane, Saunders, Natural associativity and commutativity.
• Mac Lane, Saunders and Moerdijk, Ieke, Sheaves in geometry and logic.
• Makkai, Michael and Paré, Robert, Accessible categories: the foundations of categorical model theory.
• Mardešić, Sibe and Segal, Jack, Shape theory.
• Mather, Michael, Pull-backs in homotopy theory.
• May, J. P., Equivariant homotopy and cohomology theory.
• May, J. P. and Sigurdsson, J., Parametrized homotopy theory.
• May, J. Peter, Simplicial objects in algebraic topology.
• McCord, M. C., Classifying spaces and infinite symmetric products.
• Mebkhout, Z., Une équivalence de catégories.
• Mebkhout, Z., Une autre équivalence de catégories.
• Mebkhout, Zoghman, Sur le problème de Hilbert-Riemann.
• Miller, Haynes, The Sullivan conjecture on maps from classifying spaces.
• Milnor, John, Construction of universal bundles. I.
• Milnor, John, The geometric realization of a semi-simplicial complex.
• Moerdijk, I. and Vermeulen, J. J. C., Proper maps of toposes.
• Munkres, James R., Topology: a first course.

N

• Nichols-Barrer, Joshua Paul, On quasi-categories as a foundation for higher algebraic stacks.

P

• Polesello, Pietro and Waschkies, Ingo, Higher monodromy.
• Prasma, Matan and Schlank, Tomer M., Sylow theorems for ∞-groups.

Q

• Quillen, Daniel, Higher algebraic $K$-theory. I.
• Quillen, Daniel G., Homotopical algebra.

R

• Rezk, Charles, A model for the homotopy theory of homotopy theory.
• Rezk, Charles, Free colimit completion in ∞-categories.
• Rezk, Charles and Schwede, Stefan and Shipley, Brooke, Simplicial structures on model categories and functors.
• Rosický, J., On homotopy varieties.

S

• Saavedra Rivano, Neantro, Catégories Tannakiennes.
• Sattler, Christian, The Equivalence Extension Property and Model Structures.
• Schwartz, Lionel, Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture.
• Schwede, Stefan, Global homotopy theory.
• Segal, Graeme, Categories and cohomology theories.
• Segal, Graeme, Classifying spaces and spectral sequences.
• Segal, Graeme, Equivariant $K$-theory.
• Serre, Jean-Pierre, Cohomologie galoisienne.
• Serre, Jean-Pierre, Géométrie algébrique et géométrie analytique.
• Serre, Jean-Pierre, Trees.
• Shah, Jay, Parametrized higher category theory.
• Shulman, Michael, All $(\infty ,1)$-toposes have strict univalent universes..
• Simpson, Carlos, Homotopy over the complex numbers and generalized de Rham cohomology.
• Sobocinski, Pawel and Heindel, Tobias, Being Van Kampen is a universal property.
• Spaltenstein, N., Resolutions of unbounded complexes.
• Stapleton, Nathaniel, Transchromatic generalized character maps.
• Stapleton, Nathaniel, Transchromatic twisted character maps.
• Stasheff, James Dillon, Homotopy associativity of $H$-spaces. I, II.
• Street, Ross, The algebra of oriented simplexes.
• Street, Ross, Two-dimensional sheaf theory.

T

• Tamsamani, Zouhair, Sur des notions de $n$-catégorie et $n$-groupoïde non strictes via des ensembles multi-simpliciaux.
• Toën, Bertrand, Vers une interprétation galoisienne de la théorie de l'homotopie.
• Toën, Bertrand, Vers une axiomatisation de la théorie des catégories supérieures.
• Toën, Bertrand and Vezzosi, Gabriele, Homotopical algebraic geometry. I. Topos theory.

V

• van den Dries, Lou, Tame topology and o-minimal structures.
• Verdier, Jean-Louis, Des catégories dérivées des catégories abéliennes.
• Verity, D. R. B., Weak complicial sets. I. Basic homotopy theory.
• Verity, Dominic, Complicial sets characterising the simplicial nerves of strict ω-categories.
• Verity, Dominic, Weak complicial sets. II. Nerves of complicial Gray-categories.
• Vogt, Rainer M., Homotopy limits and colimits.

W

• Wall, C. T. C., Finiteness conditions for $\rm CW$-complexes.
• Whitehead, J. H. C., Combinatorial homotopy. I.

—

• Théorie des topos et cohomologie étale des schémas. Tome 1: Théorie des topos.