Two-track categories

David Blanc*, Simona Paoli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

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 languageEnglish
Pages (from-to)59-106
Number of pages48
JournalJournal of K-Theory
Volume8
Issue number1
Early online date5 May 2010
DOIs
Publication statusPublished - Aug 2011

Keywords

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

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