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Cocompletion of restriction categories

2016/10/23 by Richard Garner, Garner, Richard, Daniel Lin +1 · 1 citation
Mathematics · Medicine · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #math.CT

paper · pdf · doi:10.48550/arxiv.1610.07164

arxiv created 2016/10/23 · arxiv updated 2016/10/25

Abstract

Restriction categories were introduced as a way of generalising the notion of partial map categories. In this paper, we define cocomplete restriction category, and give the free cocompletion of a small restriction category as a suitably defined category of restriction presheaves. We also consider the case where our restriction category is locally small.

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