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arXiv · 1610.07164

Cocompletion of restriction categories

Richard Garner·Daniel Lin
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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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Richard Garner, Daniel Lin. 2016-10-23. Cocompletion of restriction categories. https://arxiv.org/abs/1610.07164

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