Two-track categories

David Blanc; Simona Paoli

doi:10.1017/is010003020jkt116

Two-track categories

David Blanc, Simona Paoli

Department of Mathematics

University of Haifa

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

Abstract

We describe a 2-dimensional analogue of track categories, called two-track categories, and show that it can be used to model categories enriched in 2-type mapping spaces. We also define a Baues-Wirsching type cohomology theory for track categories, and explain how it can be used to classify two-track extensions of a track category by a module over.

Original language	American English
Pages (from-to)	59-106
Number of pages	48
Journal	Journal of K-Theory
Volume	8
Issue number	1
DOIs	https://doi.org/10.1017/is010003020jkt116
State	Published - Aug 2011

Keywords

2-types
Baues-Wirsching cohomology
Double groupoids
Simplicially enriched categories
Track categories

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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10.1017/is010003020jkt116

Cite this

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title = "Two-track categories",

abstract = "We describe a 2-dimensional analogue of track categories, called two-track categories, and show that it can be used to model categories enriched in 2-type mapping spaces. We also define a Baues-Wirsching type cohomology theory for track categories, and explain how it can be used to classify two-track extensions of a track category by a module over.",

keywords = "2-types, Baues-Wirsching cohomology, Double groupoids, Simplicially enriched categories, Track categories",

author = "David Blanc and Simona Paoli",

note = "Funding Information: Acknowledgments: We would like to thank Hans Baues and the referee for many useful comments and corrections. The second author wishes to thank the Department of Mathematics of the University of Haifa for their hospitality while holding a postodoral position there during which this work was carried out. This research was supported by BSF grant 2006039.",

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language = "American English",

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AU - Paoli, Simona

N1 - Funding Information: Acknowledgments: We would like to thank Hans Baues and the referee for many useful comments and corrections. The second author wishes to thank the Department of Mathematics of the University of Haifa for their hospitality while holding a postodoral position there during which this work was carried out. This research was supported by BSF grant 2006039.

PY - 2011/8

Y1 - 2011/8

N2 - We describe a 2-dimensional analogue of track categories, called two-track categories, and show that it can be used to model categories enriched in 2-type mapping spaces. We also define a Baues-Wirsching type cohomology theory for track categories, and explain how it can be used to classify two-track extensions of a track category by a module over.

AB - We describe a 2-dimensional analogue of track categories, called two-track categories, and show that it can be used to model categories enriched in 2-type mapping spaces. We also define a Baues-Wirsching type cohomology theory for track categories, and explain how it can be used to classify two-track extensions of a track category by a module over.

KW - 2-types

KW - Baues-Wirsching cohomology

KW - Double groupoids

KW - Simplicially enriched categories

KW - Track categories

UR - http://www.scopus.com/inward/record.url?scp=80054959048&partnerID=8YFLogxK

U2 - 10.1017/is010003020jkt116

DO - 10.1017/is010003020jkt116

M3 - Article

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VL - 8

SP - 59

EP - 106

JO - Journal of K-Theory

JF - Journal of K-Theory

IS - 1

ER -

Two-track categories

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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