Two-track categories

David Blanc, Simona Paoli

Research output: Contribution to journalArticlepeer-review


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
Issue number1
StatePublished - Aug 2011

Bibliographical 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.


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

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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