
the equivalence of two definitions of locally closed sets
Oct 24, 2025 · the equivalence of two definitions of locally closed sets Ask Question Asked 11 years, 9 months ago Modified 2 months ago
A locally $\kappa$-presentable category is also locally $\lambda ...
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 …
Is locally compact space Hausdorff? - Mathematics Stack Exchange
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 …
Any saturated subsheaf of a locally free sheaf is again locally free
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 …
Closed and open subsets of locally compact Hausdorff space are locally ...
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
general topology - When is a Borel measure locally finite ...
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 …
functional analysis - What is Convex about Locally Convex Spaces ...
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 …
Locally closed subspace - Mathematics Stack Exchange
Aug 19, 2020 · Locally closed subspace Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago
abstract algebra - Locally Noetherian schemes are quasiseparated ...
Sep 26, 2020 · Locally Noetherian schemes are quasiseparated Ask Question Asked 5 years, 3 months ago Modified 5 years, 3 months ago
calculus - Locally Lipschitz function and continuity - Mathematics ...
Jun 7, 2024 · In my book, when It comes to prove that the integral function Is continuos on an interval X, It shows that it's "locally Lipschitz" on X and, therefore, continuos. At a First read, I didn't