All Questions
2 questions
3
votes
0
answers
152
views
Can every contractible space be embedded as a convex subset of a vector space?
Given a contractible topological space $X$, is there (or what are some conditions for the existence of) a continuous embedding $\iota:X\hookrightarrow V$ into some topological vector space $V$ such ...
- 23.3k
1
vote
1
answer
1k
views
Closure of the interior of a convex set in a topological vector space
Let $C$ be a convex set with nonempty interior in a topological vector space. Do we always have :
$\overline {C^\circ} = \overline{C}$ ?
If not, what is the "minimal" condition on the space so that ...
- 1,035