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arXiv · 1706.08395

Compactness in abelian categories

Peter Kálnai·Jan Žemlička
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Abstract

We relativize the notion of a compact object in an abelian category with respect to a fixed subclass of objects. We show that the standard closure properties persist to hold in this case. Furthermore, we describe categorical and set-theoretical conditions under which all products of compact objects remain compact.

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Peter Kálnai, Jan Žemlička. 2017-06-16. Compactness in abelian categories. https://arxiv.org/abs/1706.08395

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