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arXiv · 2205.12235

Enrichment of Algebraic Higher Categories

Brandon Shapiro
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Abstract

We provide a definition of enrichment that applies to a wide variety of categorical structures, generalizing Leinster's theory of enriched $T$-multicategories. As a sample of newly enrichable structures, we describe in detail the examples of enriched monoidal categories and enriched double categories, with a focus on monoidal double categories as broadly convenient bases of enrichment.

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Brandon Shapiro. 2022-05-24. Enrichment of Algebraic Higher Categories. https://arxiv.org/abs/2205.12235

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