ARROW CATEGORIES OF MONOIDAL MODEL CATEGORIES

被引：2

作者：

White, David ^{[1
]}

Yau, Donald ^{[2
]}

机构：

[1] Denison Univ, Granville, OH 43023 USA

[2] Ohio State Univ, Newark, OH USA

来源：

MATHEMATICA SCANDINAVICA | 2019年 / 125卷 / 1-2期

关键词：

HOMOTOPY; ALGEBRAS; MODULES; SPACES;

D O I：

10.7146/math.scand.a-114968

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the arrow category of a monoidal model category, equipped with the pushout product monoidal structure and the projective model structure, is a monoidal model category. This answers a question posed by Mark Hovey, in the course of his work on Smith ideals. As a corollary, we prove that the projective model structure in cubical homotopy theory is a monoidal model structure. As illustrations we include numerous examples of non-cofibrantly generated monoidal model categories, including chain complexes, small categories, pro-categories, and topological spaces.

引用

页码：185 / 198

页数：14

共 35 条

[1] Weak factorization systems and topological functors [J].