Left determined model categories

被引：0

作者：

Gaucher, Philippe ^{[1
]}

机构：

[1] Univ Paris Diderot, Lab PPS, CNRS, Sorbonne Paris Cite,UMR 7126, F-75205 Paris 13, France

来源：

NEW YORK JOURNAL OF MATHEMATICS | 2015年 / 21卷

关键词：

Combinatorial model category; left determined model category; coreflective subcategory; reflective subcategory; comma category; HOMOTOPY-THEORY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several methods for constructing left determined model structures are expounded. The starting point is Olschok's work on locally presentable categories. We give sufficient conditions to obtain left determined model structures on a full reflective subcategory, on a full coreflective subcategory and on a comma category. An application is given by constructing a left determined model structure on star-shaped weak transition systems.

引用

页码：1093 / 1115

页数：23

共 21 条

[1] Adamek J., 1994, LONDON MATH SOC LECT
[2] Sheafifiable homotopy model categories
Beke, T
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2000, 129 : 447 - 475
[3] Higher dimensional transition systems
Cattani, GL
Sassone, V
[J]. 11TH ANNUAL IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE, PROCEEDINGS, 1996, : 55 - 62
[4] Homotopic theories in topos
Cisinski, DC
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2002, 174 (01) : 43 - 82
[5] Combinatorial model categories have presentations
Dugger, D
[J]. ADVANCES IN MATHEMATICS, 2001, 164 (01) : 177 - 201
[6] Gaucher P., 2003, Homology Homotopy Appl., V5, P549, DOI [10.4310/hha.2003.v5.n1.a20, DOI 10.4310/HHA.2003.V5.N1.A20.1,2,3,8]
[7] Gaucher P, 2015, NEW YORK J MATH, V21, P1117
[8] Gaucher P, 2014, NEW YORK J MATH, V20, P93
[9] Gaucher P, 2010, NEW YORK J MATH, V16, P409
[10] Gaucher P, 2011, THEOR APPL CATEG, V25, P295

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