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Two-track categories

Published online by Cambridge University Press:  05 May 2010

David Blanc  and
Simona Paoli
David Blanc
Affiliation:
Department of Mathematics, University of Haifa, 31905 Haifa, Israel, blanc@math.haifa.ac.il
Simona Paoli
Affiliation:
Department of Mathematics, Penn State Altoona, Altoona, PA 16601, USA, sup24@psu.edu
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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

Track categoriesdouble groupoids2-typessimplicially enriched categoriesBaues-Wirsching cohomology
Type
Research Article
Information
Journal of K-Theory , Volume 8 , Issue 1 , August 2011 , pp. 59 - 106
Copyright
Copyright © ISOPP 2010

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