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Jan 2, 2018 at 11:43 comment added fosco Sure, but instead of being a topological group I was thinking about the homotopy type of its classifying space. But there is no real point in my comment :-) j
Jan 2, 2018 at 10:59 comment added Taras Banakh @FoscoLoregian Why groupoid? The set of homeomorphisms carries a natural group structure...
Jan 2, 2018 at 10:57 history edited Taras Banakh CC BY-SA 3.0
Added a remark about the proof of this theorem.
Dec 27, 2017 at 17:20 comment added fosco I'd say that the next question is to speculate about the homotopy type of the groupoid of homeomorphisms $X\cong \mathbb{QP}^\infty$? :-)
Dec 27, 2017 at 7:47 history answered Taras Banakh CC BY-SA 3.0