Accessible model categories

ROSICKÝ, Jiří. Accessible model categories. Applied Categorical Structures. DORDRECHT, NETHERLANDS: Springer, 2017, vol. 25, No 2, p. 187-196. ISSN 0927-2852. Available from: https://dx.doi.org/10.1007/s10485-015-9419-6.

Basic information

Original name

Accessible model categories

Authors

ROSICKÝ, Jiří (203 Czech Republic, guarantor, belonging to the institution)

Edition

Applied Categorical Structures, DORDRECHT, NETHERLANDS, Springer, 2017, 0927-2852

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.329

RIV identification code

RIV/00216224:14310/17:00094721

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1007/s10485-015-9419-6

UT WoS

000399877600002

Keywords in English

model category;locally presentable category category;weak factorization system; rigidification

Tags

NZ, rivok

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Abstract

V originále

We prove that a weak factorization system on a locally presentable category is accessible if and only if it is small generated in the sense of R. Garner. Moreover, we discuss an analogy of Smith's theorem for accessible model categories.

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Links

GAP201/11/0528, research and development project	Name: Modelové kategorie Investor: Czech Science Foundation
GBP201/12/G028, research and development project	Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku Investor: Czech Science Foundation