Categories of Fractions Revisited

Abstract

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.

14 pages, many diagrams

Cited by in corpus (5)

• Gamma Spaces and Information
• Tensor Topology
• Notes on Triangulated Categories
• Thompson Field Theory
• The Three F's for Bicategories I: Localization by Fractions is Exact