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

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

Apr 16, 2019 · Show that every locally compact Hausdorff space is completely regular Ask Question Asked 6 years, 8 months ago Modified 2 years ago

Jan 17, 2025 · I am reading Daniel Huybrechts's The Geometry of moduli spaces of sheaves. In the introduction of chapter 5. He uses the following result: Proposition: Any saturated subsheaf of a …

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.

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 …

In A Course in Functional Analysis, John B. Conway, 100p, it is written that Definition. A locally convex topological vector space (LCTVS) is a TVS whose topology is defined by a family of seminor...

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 …

May 5, 2025 · The definition is given in the third paragraph on the Wikipedia article (also see the following paragraph for differences in naming). Note that local conformal flatness is a property of …

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 …