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, 8 months ago Modified 1 month ago
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 …
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
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 …
'Locally' Convex Function - Mathematics Stack Exchange
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.
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 …
A continuously differentiable map is locally Lipschitz
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, …
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 …
algebraic geometry - The pushforward of a locally free sheaf along ...
Dec 20, 2023 · So the cokernel of $f^\#$ is locally free of rank $1$ and the transition map on the intersection of the two affine lines is $t \mapsto 1/t$, which means that the module is $\mathcal …
locally compact groups - A smooth representation that is not …
Dec 3, 2024 · I would be very glad to hear an example that is not a discrete, but locally profinite group, or a promising "direction" where i can find some. Thanks in advance!