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arXiv · 2003.12219

Some homological properties of ind-completions and highest weight categories

Kevin Coulembier
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Abstract

We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structure on a category is unique. Finally, we give a new proof for the fact that any abelian category is extension full in its ind-completion.

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Kevin Coulembier. 2020-03-27. Some homological properties of ind-completions and highest weight categories. https://arxiv.org/abs/2003.12219

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