On Combinatorial Model Categories
Tóm tắt
Từ khóa
Tài liệu tham khảo
Adámek, J., Herrlich, H., Rosický, J., Tholen, W.: On a generalized small-object argument for the injective subcategory problem. Cahiers Topologie Géom. Différentielle Catég. XLIII, 83–106 (2002)
Adámek, J., Herrlich, H., Rosický, J., Tholen, W.: Weak factorization systems and topological functors. Appl. Categ. Structures 10, 237–249 (2002)
Adámek, J., Rosický, J.: Locally Presentable and Accessible Categories. Cambridge University Press, Cambridge (1994)
Artin, M., Grothendieck, A., Verdier, J.L.: Théorie des Topos et Cohomologie Étale des Schémas. Lect. Notes Math. 269, Springer-Verlag, New York (1972)
Beke, T.: Sheafifiable homotopy model categories. Math. Proc. Cambridge Philos. Soc. 129, 447–475 (2000)
Casacuberta, C., Gutiérez, J.J., Rosický, J.: Are all localizing subcategories of stable homotopy categories coreflective? (preprint 2008)
Casacuberta, C., Sceveneles, D., Smith, J.H.: Implications of large-cardinal principles in homotopical localizations. Adv. Math. 197, 120–139 (2005)
Christensen, J.D., Hovey, M.: Quillen model structures for relative homological algebra. Math. Proc. Cambridge Philos. Soc. 133, 261–293 (2002)
Chorny, B., Dwyer, W.G.: Homotopy theory of small diagrams over large categories. Forum Math. (to appear)
Cisinski, D.-C.: Les Préfaisceaux comme Modeles des types d’Homotopie. Astérisque 308, 390 (2006)
Dydak, J., Ruiz del Portal, F.R.: Isomorphisms in pro-categories. J. Pure Appl. Algebra 190, 85–120 (2004)
Fajstrup, L., Rosický, J.: A convenient category for directed homotopy. Theory Appl. Categ. 21, 7–20 (2008)
Gabriel, P., Ulmer, F.: Lokal Präsentierbare Kategorien. Lect. Notes Math. 221, Springer-Verlag, New York (1971)
Grothendieck, A.: Les dérivateurs. Chapitre XVIII, manuscript 1990, to appear at www.math.jussieu.fr/~maltsin/groth/Derivateurs.html
Hirschhorn, P.S.: Model categories and their localizations. Math. Surveys Monogr. 99, 457 (2003)
Hovey, M.: Model categories. Amer. Math. Soc. 63, 209 (1999)
Kurz, A., Rosický, J.: Weak factorizations, fractions and homotopies. Appl. Categ. Structures 13, 141–160 (2005)
Lurie, J.: Higher Topos theory. arXiv:math.CT/0608040 (2006)
Maltsiniotis, G.: La Théorie de l’Homotopie de Grothendieck. Astérisque 301, (2005)
Makkai, M., Paré, R.: Accessible categories: the foundation of categorical model theory. Contemp. Math. 104, 176 (1989), AMS
Rosický, J.: Generalized Brown representability in homotopy categories. Theory Appl. Categ. 14, 451–479 (2005)
Rosický, J., Tholen, W.: Left-determined model categories and universal homotopy theories. Trans. Amer. Math. Soc. 355, 3611–3623 (2003)
Rosický, J., Tholen, W.: Factorization, fibration and torsion. J. Homot. Rel. Struct. 2, 295–314 (2007)