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arXiv · 1903.03960

Representability theorems, up to homotopy

David Blanc·Boris Chorny
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Abstract

We prove two representability theorems, up to homotopy, for presheaves taking values in a closed symmetric combinatorial model category \cat V. The first theorem resembles the Freyd representability theorem, the second theorem is closer to the Brown representability theorem. As an application we discuss a recognition principle for mapping spaces.

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David Blanc, Boris Chorny. 2019-03-10. Representability theorems, up to homotopy. https://arxiv.org/abs/1903.03960

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