Symmetry and Braidings in Monoidal Categories

  • Saunders Mac Lane
Part of the Graduate Texts in Mathematics book series (GTM, volume 5)

Abstract

A monoidal category, as introduced in Chapter VII, is a category equipped with binary “tensor” products, associative up to a natural isomorphism α. A principal result for these categories was a “coherence” theorem: If a certain pentagonal diagram (§VII.1.5) in α commutes, then all diagrams involving this α must commute. We now consider various extensions of this result.

Keywords

Natural Transformation Braid Group Monoidal Category Monoidal Functor Symmetric Monoidal Category 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Saunders Mac Lane
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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