Definition talk:Locally Euclidean Space

I wonder whether to separate out the definition of "dimension" of such a space into its own page so it can more easily be categorised and conceptually linked with other instances of "dimension". --prime mover (talk) 12:52, 1 December 2012 (UTC)

Hausdorff
I landed here because I was looking at this page and was looking for the Hausdorffness property. I found it here, but it is rather uncommon to assume Hausdorffness in the definition of locally Euclidean spaces. Should this be changed? --Geometry dude (talk) 09:56, 17 September 2014 (UTC)


 * I'd be careful about "just" changing it, because there are many pages which depend on it. If it were changed so as to say something different, then the pages that depend on its definition being as it is may then be rendered invalid. --prime mover (talk) 18:40, 17 September 2014 (UTC)


 * I understand that, but on the contrary, someone from the outside might land on the manifold page and take the wrong definition, because he or she didn't follow the link down to locally Euclidean. :-( --Geometry dude (talk) 22:50, 17 September 2014 (UTC)


 * Hence what I said somewhere else and needs to be repeated over: this is why it's best for any field of knowledge to be developed from the ground up, rather than dropping in at the top. --prime mover (talk) 05:05, 18 September 2014 (UTC)