New model categories from old

David Blanc

doi:10.1016/0022-4049(95)00078-X

New model categories from old

David Blanc

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We review Quillen's concept of a model category as the proper setting for defining derived functors in non-abelian settings, explain how one can transport a model structure from one category to another by mean of adjoint functors (under suitable assumptions), and define such structures for categories of cosimplicial coalgebras.

Original language	English
Pages (from-to)	37-60
Number of pages	24
Journal	Journal of Pure and Applied Algebra
Volume	109
Issue number	1
DOIs	https://doi.org/10.1016/0022-4049(95)00078-X
State	Published - 27 May 1996

Keywords

Adjoint functors
Cosimplicial coalgebras
Derived functors
Homotopical algebra
Model categories

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/0022-4049(95)00078-X

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title = "New model categories from old",

abstract = "We review Quillen's concept of a model category as the proper setting for defining derived functors in non-abelian settings, explain how one can transport a model structure from one category to another by mean of adjoint functors (under suitable assumptions), and define such structures for categories of cosimplicial coalgebras.",

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AB - We review Quillen's concept of a model category as the proper setting for defining derived functors in non-abelian settings, explain how one can transport a model structure from one category to another by mean of adjoint functors (under suitable assumptions), and define such structures for categories of cosimplicial coalgebras.

KW - Adjoint functors

KW - Cosimplicial coalgebras

KW - Derived functors

KW - Homotopical algebra

KW - Model categories

UR - https://www.scopus.com/pages/publications/0030603704

U2 - 10.1016/0022-4049(95)00078-X

DO - 10.1016/0022-4049(95)00078-X

M3 - Article

AN - SCOPUS:0030603704

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IS - 1

ER -

New model categories from old

Abstract

Keywords

ASJC Scopus subject areas

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