Homotopy locally presentable enriched categories

LACK, Stephen Geoffrey and Jiří ROSICKÝ. Homotopy locally presentable enriched categories. Theory and Applications of Categories. Halifax (Canada), 2016, vol. 31, August, p. 712-754. ISSN 1201-561X.

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

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Canada

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 0.419

RIV identification code

RIV/00216224:14310/16:00088063

Organization unit

Faculty of Science

UT WoS

000402506200018

Keywords in English

monoidal model category; enriched model category; weighted homotopy colimit

Tags

AKR, rivok

Tags

International impact, Reviewed

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Abstract

V originále

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.

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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