Name: Pullbacks in Regular Categories
Creator: Meisen, Jeanne
Keywords: Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), 0103 physical sciences, 0101 mathematics, 01 natural sciences

Pullbacks in regular categories

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1973 English Publisher:Canadian Mathematical SocietyJournal:Canadian Mathematical Bulletin, volume 16, pages 251-255 (issn: 0008-4395, eissn: 1496-4287,

Authors: Meisen, Jeanne;

doi: 10.4153/cmb-1973-043-5

Pullbacks in Regular Categories

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Abstract

Given a pair of mapsin a category, we would like to know whether they form part of a pullback diagram as follows:I am indebted to Basil Rattray for mentioning the solution of this problem for the category of sets. Here we shall solve it for any regular category in the sense of Barr [1].It will be useful to make the following definition.

Related Organizations

McGill University
Canada

Keywords

Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)

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