The geometric realization of a simplicial Hausdorff space is Hausdorff

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.

arXiv comment19 pages

Cited by in corpus (3)

• Global homotopy theory
• Homological stability for spaces of commuting elements in Lie groups
• The May-Milgram filtration and $E_k$-cells