A Model Structure on GCat

被引：11

作者：

Bohmann, Anna Marie ^{[1
]}

Mazur, Kristen ^{[2
]}

Osorno, Angelica M. ^{[3
]}

Ozornova, Viktoriya ^{[4
]}

Ponto, Kate ^{[5
]}

Yarnall, Carolyn ^{[6
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[2] Lafayette Coll, Dept Math, Easton, PA 18042 USA

[3] Reed Coll, Dept Math, Portland, OR 97202 USA

[4] Univ Bremen, Fachbereich Math, D-28359 Bremen, Germany

[5] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[6] Wabash Coll, Dept Math, Crawfordsville, IN 47933 USA

来源：

WOMEN IN TOPOLOGY: COLLABORATIONS IN HOMOTOPY THEORY | 2015年 / 641卷

关键词：

D O I：

10.1090/conm/641/12861

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a model structure on the category GCat of small categories with an action by a discrete group G by lifting the Thomason model structure on Cat. We show there is a Quillen equivalence between GCat with this model structure and GTop with the standard model structure.

引用

页码：123 / 134

页数：12

共 11 条

[1]

Cisinski D-C, 1999, Cahiers Topologie Geom. Differentielle Categ., V40, P227

[2] SYSTEMS OF FIXED-POINT SETS [J].

ELMENDORF, AD .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 277 (01) :275-284

[3] A Thomason model structure on the category of small n-fold categories [J].

Fiore, Thomas M. ;

Paoli, Simona .

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2010, 10 (04) :1933-2008

[4] HOMOTOPY INVERSES FOR NERVE [J].

FRITSCH, R ;

LATCH, DM .

MATHEMATISCHE ZEITSCHRIFT, 1981, 177 (02) :147-179

[5] HOMOTOPY-THEORY OF DIAGRAMS AND CW-COMPLEXES OVER A CATEGORY [J].

PIACENZA, RJ .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1991, 43 (04) :814-824

[6]

Thomason R., 1980, Cah. Topol. Geom. Differ., V21, P305

[7]

[No title captured]

[8]

[No title captured]

[9]

[No title captured]

[10]

[No title captured]

← 1 2 →