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arXiv · 1608.02509

Hurewicz fibrations in elementary toposes

Krzysztof Worytkiewicz
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Abstract

We study formal counterparts of Hurewicz fibrations and related topological notions in elementary toposes with NNO. The constructions are based on a specific notion of interval and lead to a structure of category of fibrant objects on toposes equipped with such a datum. We get in fact slightly more as the building blocks are derived from a weak factorisation system.

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Krzysztof Worytkiewicz. 2016-08-08. Hurewicz fibrations in elementary toposes. https://arxiv.org/abs/1608.02509

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