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Cartesian differential categories revisited

Published online by Cambridge University Press:  13 April 2015

G. S. H. CRUTTWELL
G. S. H. CRUTTWELL*
Affiliation:
Department of Mathematics and Computer Science, Mount Allison University, Sackville, NB
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Abstract

We revisit the definition of Cartesian differential categories, showing that a slightly more general version is useful for a number of reasons. As one application, we show that these general differential categories are comonadic over categories with finite products, so that every category with finite products has an associated cofree differential category. We also work out the corresponding results when the categories involved have restriction structure, and show that these categories are closed under splitting restriction idempotents.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 27 , Issue 1 , January 2017 , pp. 70 - 91
Copyright
Copyright © Cambridge University Press 2015 

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