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arxiv: 1511.01532 · v1 · pith:GF4KQBAUnew · submitted 2015-11-04 · 🧮 math.CT · math.MG

Approximate categorical structures

classification 🧮 math.CT math.MG
keywords approximatecategoricalmetrizedstructurescategoriescategorycomeconditions
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We consider notions of metrized categories, and then approximate categorical structures defined by a function of three variables generalizing the notion of $2$-metric space. We prove an embedding theorem giving sufficient conditions for an approximate categorical structure to come from an inclusion into a metrized category.

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