A Note On The Exact Completion Of A Regular Category, And Its Infinitary Generalizations (1999)
by
Stephen Lack
| Citations: | 4 - 1 self |
BibTeX
@MISC{Lack99anote,
author = {Stephen Lack},
title = {A Note On The Exact Completion Of A Regular Category, And Its Infinitary Generalizations},
year = {1999}
}
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Abstract
A new description of the exact completion C ex/reg of a regular category C is given, using a certain topos Shv(C) of sheaves on C; the exact completion is then constructed as the closure of C in Shv(C) under finite limits and coequalizers of equivalence relations. An infinitary generalization is proved, and the classical description of the exact completion is derived.
