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arXiv · 2205.15240

Double Fibrations

Geoffrey Cruttwell·Michael Lambert·Dorette Pronk·Martin Szyld
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Abstract

This paper defines double fibrations (fibrations of double categories) and describes their key examples and properties. In particular, it shows how double fibrations relate to existing fibrational notions such as monoidal fibrations and discrete double fibrations, proves a representation theorem for double fibrations, and shows how double fibrations are a type of internal fibration.

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Geoffrey Cruttwell, Michael Lambert, Dorette Pronk, Martin Szyld. 2022-05-30. Double Fibrations. https://arxiv.org/abs/2205.15240

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