Geodesic
Yoneda Lemma for Complete Segal Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 2, pp. 3-38 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this note we formulate and give a self-contained proof of the Yoneda lemma for $\infty$-categories in the language of complete Segal spaces.
Keywords: simplicial sets, complete Segal spaces, Yoneda lemma. 
@article{FAA_2014_48_2_a0,
     author = {Ya. Varshavsky and D. A. Kazhdan},
     title = {Yoneda {Lemma} for {Complete} {Segal} {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {3--38},
     year = {2014},
     volume = {48},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2014_48_2_a0/}
}
TY  - JOUR
AU  - Ya. Varshavsky
AU  - D. A. Kazhdan
TI  - Yoneda Lemma for Complete Segal Spaces
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2014
SP  - 3
EP  - 38
VL  - 48
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/FAA_2014_48_2_a0/
LA  - ru
ID  - FAA_2014_48_2_a0
ER  - 
%0 Journal Article
%A Ya. Varshavsky
%A D. A. Kazhdan
%T Yoneda Lemma for Complete Segal Spaces
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2014
%P 3-38
%V 48
%N 2
%U http://geodesic.mathdoc.fr/item/FAA_2014_48_2_a0/
%G ru
%F FAA_2014_48_2_a0
Ya. Varshavsky; D. A. Kazhdan. Yoneda Lemma for Complete Segal Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 48 (2014) no. 2, pp. 3-38. http://geodesic.mathdoc.fr/item/FAA_2014_48_2_a0/

[1] P. Goerss, J. Jardine, Simplicial Homotopy Theory, Progress in Math., 174, Birkhäuser, Basel, 1999 | MR | Zbl

[2] D. Kazhdan, Y. Varshavsky, Yoneda lemma for complete Segal spaces, II, gotovitsya k pechati

[3] D. Kazhdan, Y. Varshavsky, Yoneda lemma for $(\infty,n)$-categories, gotovitsya k pechati

[4] J. Lurie, Higher Topos Theory, Annals of Math. Studies, 170, Princeton University Press, Princeton, NJ, 2009 | MR | Zbl

[5] J. Lurie http://www.math.harvard.edu/~lurie/papers/higheralgebra.pdf

[6] C. Rezk, “A model for the homotopy theory of homotopy theory”, Trans. Amer. Math. Soc., 353:3 (2001), 973–1007 | DOI | MR | Zbl

[7] C. Rezk, “A Cartesian presentation of weak $n$-categories”, Geom. Topol., 14:1 (2010), 521–571 | DOI | MR | Zbl

[8] C. Rezk, Fibrations and homotopy colimits of simplicial sheaves, 1998, arXiv: math/9811038

[9] D. Quillen, Homotopical algebra, Lecture Notes in Math., 43, Springer-Verlag, Berlin–New York, 1967 | DOI | MR | Zbl