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arXiv · 1005.2666

The geometric realization of a simplicial Hausdorff space is Hausdorff

Clément de Seguins Pazzis
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Abstract

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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Clément de Seguins Pazzis. 2010-05-15. The geometric realization of a simplicial Hausdorff space is Hausdorff. https://doi.org/10.1016/j.topol.2013.06.007

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