Oct 24, 2025 · the equivalence of two definitions of locally closed sets Ask Question Asked 11 years, 9 months ago Modified 2 months ago

Jan 5, 2020 · In this proof of the statement that proper maps to locally compact spaces are closed, the fact that compact subspaces of Hausdorff spaces are closed is used. However, is it true that locally …

Aug 19, 2020 · Locally closed subspace Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago

Jun 2, 2020 · My intuition suggests that a continuously differentiable function on a convex set which is locally convex everywhere should be globally convex, but I have trouble constructing the argument.

Sep 26, 2020 · Locally Noetherian schemes are quasiseparated Ask Question Asked 5 years, 3 months ago Modified 5 years, 3 months ago

Feb 6, 2023 · Question 2: Is a Borel measure on a $\sigma$ -compact space locally finite? I've asked this question before here, and a counterexample to Question 2 is proposed, but the counterexample …

A locally convex TVS is one that has a basis at the origin consisting of balanced absorbing convex sets. The reason for the emphasis on "convex" is that that's what distinguishes locally convex TVSs from …

Oct 16, 2019 · There is already a notion of saturated, where the quotient is only assumed to be torsion-free, not locally free, so may be you should use another word.

Aug 22, 2017 · For example, the circle is locally homeomorphic to $\mathbb {R}$, but there is no local homeomorphism from the circle to the real line - for any such map, at some point the path needs to …

May 29, 2023 · A Hausdorff topological vector space is locally convex if and only if $0$ has a neighborhood base of balanced, convex, absorbing space Ask Question Asked 2 years, 7 months …