Lectures on N-Categories and Cohomology

  • John C. BaezEmail author
  • Michael Shulman
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 152)


This is an explanation of how cohomology is seen through the lens of n-category theory. Special topics include nonabelian cohomology, Postnikov towers, the theory of ‘n-stuff’, and n-categories for n = −1 and −2. A lengthy appendix clarifies certain puzzles and ventures into deeper waters such as higher topos theory. An annotated bibliography provides directions for further study.

Key words

n-category cohomology 


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Copyright information

© Springer-Verlag New York 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaRiversideUSA
  2. 2.Department of MathematicsUniversity of ChicagoChicagoUSA

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