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

1 vote

The classifying space of an infinite totally ordered set is contractible

I am not sure if you consider this explicit, but here you go: Choose a point $x_0\in X$, and let $F\colon X\to X$ be the functor that sends $x$ to itself if $x\geq x_0$, and to $x_0$ otherwise. There …
Emanuele Dotto's user avatar