Categories of Fractions Revisited

Details Categories of Fractions Revisited Categories of Fractions Revisited

2008-03-18

arxiv.org/abs/0803.2587v2

Morfismos 15(2), 19-38 (2011)

Mathematics

Category Theory

14 pages, many diagrams

Scientific paper

The theory of categories of fractions as originally developed by Gabriel and
Zisman is reviewed in a pedagogical manner giving detailed proofs of all
statements. A weakening of the category of fractions axioms used by Higson is
discussed and shown to be equivalent to the original axioms.

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