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arXiv:math/0604542math.CT

Finite Products are Biproducts in a Compact Closed Category

Robin Houston

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Abstract

If a compact closed category has finite products or finite coproducts then it in fact has finite biproducts, and so is semi-additive.

arXiv comments
9 pages. Introduction further expanded, minor errors corrected
Journal reference
Journal of Pure and Applied Algebra, Volume 212, Issue 2, February 2008, Pages 394-400
DOI
doi:10.1016/j.jpaa.2007.05.021
Subjects
math.CTCategory Theory

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  1. Mathematics for Computer Science 1 comment

    • I don't think there is anything particularly brilliant. There's Category Theory for Computing Science by Barr and Wells (http://www.case.edu/artsci/math/wells/pub/ctcs.html), which is a good enough book but hardly comprehensive. I don't know any way round the fact that category…

      robinhoustonView on HNParent context

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