Goursat completions
Diana Rodelo, Idriss Tchoffo Nguefeu
TL;DR
This paper characterizes categories with weak finite limits that, when regularly completed, produce Goursat categories, thus linking categorical properties with Goursat conditions.
Contribution
It provides a characterization of categories with weak finite limits whose regular completions are Goursat categories, establishing a new connection in category theory.
Findings
Categories with weak finite limits can be characterized by their regular completions.
Regular completions of such categories yield Goursat categories.
The work bridges properties of weak limits and Goursat conditions.
Abstract
We characterize categories with weak finite limits whose regular completions give rise to Goursat categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Rings, Modules, and Algebras