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arXiv · 2506.14007

Hypersheaves and bases

Tobias Dyckerhoff·Till Heine·Simon Schneider
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Abstract

Let $X$ be a topological space equipped with a basis. We prove that, for every $\infty$-category $\mathcal{C}$ with limits, the restriction functor from $\mathcal{C}$-valued hypersheaves on $X$ to basic hypersheaves is an equivalence of $\infty$-categories.

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Tobias Dyckerhoff, Till Heine, Simon Schneider. 2025-06-16. Hypersheaves and bases. https://arxiv.org/abs/2506.14007

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