Inscrit le: 07 Oct 2017
|Posté le: Jeu 9 Nov - 11:25 (2017) Sujet du message: Separable space?
I wanted to wait until Monday to put my question to my teacher of topo but since there are "faces" on the forum ... We have seen the concept of separable space in progress: A space is separable if it contains a dense part at most countable. My question is: If a topological space is separable, are all its topological subspaces also separable? I do not understand why your on-question indicates an answer to the question ... Why add the non-compact hypothesis? It's trivial without this hypothesis is that? If yes I do not see the triviality (but it would not be the first time ..)
I didn't find the right solution from the Internet.