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arXiv · 1810.04994

Enriched diagrams of topological spaces over locally contractible enriched categories

Philippe Gaucher
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Abstract

It is proved that the projective model structure of the category of topologically enriched diagrams of topological spaces over a topologically enriched locally contractible small category is Quillen equivalent to the standard Quillen model structure of topological spaces. We give a geometric interpretation of this fact in directed homotopy.

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Philippe Gaucher. 2018-10-11. Enriched diagrams of topological spaces over locally contractible enriched categories. https://arxiv.org/abs/1810.04994

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