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arXiv · 1807.06000

Decomposition-space slices are toposes

Joachim Kock·David I. Spivak
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Abstract

We show that the category of decomposition spaces and CULF maps is locally a topos. Precisely, the slice category over any decomposition space D is a presheaf topos, namely decomp/D=Psh(tw D).

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Joachim Kock, David I. Spivak. 2018-07-16. Decomposition-space slices are toposes. https://arxiv.org/abs/1807.06000

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