The geometric realization of a simplicial Hausdorff space is Hausdorff

Details The geometric realization of a simplicial Hausdorff space is Hausdorff The geometric realization of a simplicial Hausdorff space is Hausdorff

2010-05-15

arxiv.org/abs/1005.2666v1

Mathematics

Category Theory

18 pages

Scientific paper

It is shown that the thin geometric realization of a simplicial Hausdorff
space is Hausdorff. This proves a famous claim by Graeme Segal that the thin
geometric realisation of a simplicial k-space is a k-space.

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