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 …

These questions have been asked to death, but I found the proof for "open subsets of locally compact Hausdorff space are locally compact" too tedious in each of the answers I have sampled on MSE, for

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

Actually, a continuously differentiable function is locally Lipschitz, but since the derivative isn't assumed continuous in the theorem, one has only the weaker property that might be dubbed "pointwise …

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 …

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, …

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 …