Fibrancy of partial model categories

Lennart Meier; Viktoriya Ozornova

doi:10.4310/HHA.2015.v17.n2.a5

Fibrancy of partial model categories

Lennart Meier
, Viktoriya Ozornova

University of Bremen

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

Abstract

We investigate fibrancy conditions in the Thomason model structure on the category of small categories. In particular, we show that the category of weak equivalences of a partial model category is fibrant. Furthermore, we describe connections to calculi of fractions.

Original language	English
Pages (from-to)	53-80
Number of pages	28
Journal	Homology, Homotopy and Applications
Volume	17
Issue number	2
DOIs	https://doi.org/10.4310/HHA.2015.v17.n2.a5
Publication status	Published - 1 Jan 2015

Keywords

Categories
Fibrant
Homotopy
Thomason model structure

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10.4310/HHA.2015.v17.n2.a5

FibrancyAccepted author manuscript, 507 KB

https://arxiv.org/pdf/1408.2743.pdf

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title = "Fibrancy of partial model categories",

abstract = "We investigate fibrancy conditions in the Thomason model structure on the category of small categories. In particular, we show that the category of weak equivalences of a partial model category is fibrant. Furthermore, we describe connections to calculi of fractions.",

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year = "2015",

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AU - Ozornova, Viktoriya

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AB - We investigate fibrancy conditions in the Thomason model structure on the category of small categories. In particular, we show that the category of weak equivalences of a partial model category is fibrant. Furthermore, we describe connections to calculi of fractions.

KW - Categories

KW - Fibrant

KW - Homotopy

KW - Thomason model structure

UR - https://www.scopus.com/pages/publications/84982659223

U2 - 10.4310/HHA.2015.v17.n2.a5

DO - 10.4310/HHA.2015.v17.n2.a5

M3 - Article

AN - SCOPUS:84982659223

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VL - 17

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EP - 80

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

IS - 2

ER -

Fibrancy of partial model categories

Abstract

Keywords

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