On the category of props

Philip Hackney, Marcy Robertson*

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The category of (colored) props is an enhancement of the category of colored operads, and thus of the category of small categories. The titular category has nice formal properties: it is bicomplete and is a symmetric monoidal category, with monoidal product closely related to the Boardman-Vogt tensor product of operads. Tools developed in this article, which is the first part of a larger work, include a generalized version of multilinearity of functors, a free prop construction defined on certain "generalized" graphs, and the relationship between the category of props and the categories of permutative categories and of operads.

Original languageEnglish
Pages (from-to)543-573
Number of pages31
JournalApplied Categorical Structures
Volume23
Issue number4
DOIs
Publication statusPublished - Aug 2015
Externally publishedYes

Keywords

  • Colored operad
  • Colored prop
  • Multicategory
  • Permutative category

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