J 2016

Homotopy locally presentable enriched categories

LACK, Stephen Geoffrey and Jiří ROSICKÝ

Basic information

Original name

Homotopy locally presentable enriched categories

Authors

LACK, Stephen Geoffrey (36 Australia) and Jiří ROSICKÝ (203 Czech Republic, guarantor, belonging to the institution)

Edition

Theory and Applications of Categories, Halifax (Canada), 2016, 1201-561X

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Canada

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 0.419

RIV identification code

RIV/00216224:14310/16:00088063

Organization unit

Faculty of Science

UT WoS

000402506200018

EID Scopus

2-s2.0-84983464379

Keywords in English

monoidal model category; enriched model category; weighted homotopy colimit

Tags

Tags

International impact, Reviewed
Changed: 23/4/2020 16:30, Mgr. Marie Novosadová Šípková, DiS.

Abstract

In the original language

We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable V-categories with combinatorial model V-categories, in the case where all objects of V are cofibrant.

Links

GAP201/11/0528, research and development project
Name: Modelové kategorie
Investor: Czech Science Foundation
MSM 143100009, plan (intention)
Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry