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Decomposition-space slices are toposes. (arXiv:1807.06000v1 [math.CT])

来源于:arXiv
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). A crucial ingredient in our constructions and proofs is a natural transformation between the functors given by taking category of elements and taking twisted arrow category. 查看全文>>