Oct 24, 2025 · the equivalence of two definitions of locally closed sets Ask Question Asked 11 years, 8 months ago Modified 1 month ago

Dec 24, 2023 · A locally $\kappa$ -presentable category is also locally $\lambda$ -presentable for any $\lambda>\kappa$. ¹ A regular cardinal is an infinite cardinal $\kappa$ with the property that every …

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

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 …

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 …

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 …

I can’t think of a counter example to this, but I’m having trouble proving it. My original strategy was to prove that a $\sigma$ -compact Polish space is locally compact. However, as the comments …

A function is called locally Lipschitz continuous if for every x in X there exists a neighborhood U of x such that f restricted to U is Lipschitz continuous. Equivalently, if X is a locally compact metric space, …