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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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The classifying space of an infinite totally ordered set is contractible

I asked this question on math.stackexchange, but no one answered. Let $(X,\le)$ be a totally ordered set. Regarding it as a category, it has a classifying space $B(X,\le)=|N_\bullet(X,\le)|$. This sh …
Tatjana Popow's user avatar