On the tensor product of enriched $\infty$-categories
Category Theory
2023-11-23 v1 Algebraic Topology
Abstract
We show that the tensor product of -categories enriched in a suitable monoidal -category preserves colimits in each variable, fixing a mistake in an earlier paper of Gepner and the author. We also prove that essentially surjective and fully faithful functors form a factorization system on enriched -categories, and that the tensor product and internal hom are compatible with this.
Keywords
Cite
@article{arxiv.2311.13362,
title = {On the tensor product of enriched $\infty$-categories},
author = {Rune Haugseng},
journal= {arXiv preprint arXiv:2311.13362},
year = {2023}
}
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33 pages