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arXiv · 1108.2934

On the axioms for adhesive and quasiadhesive categories

Richard Garner·Stephen Lack
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Abstract

A category is adhesive if it has all pullbacks, all pushouts along monomorphisms, and all exactness conditions between pullbacks and pushouts along monomorphisms which hold in a topos. This condition can be modified by considering only pushouts along regular monomorphisms, or by asking only for the exactness conditions which hold in a quasitopos. We prove four characterization theorems dealing with adhesive categories and their variants.

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Richard Garner, Stephen Lack. 2011-08-15. On the axioms for adhesive and quasiadhesive categories. https://arxiv.org/abs/1108.2934

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