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 …

Oct 24, 2025 · the equivalence of two definitions of locally closed sets Ask Question Asked 11 years, 7 months ago Modified 13 days ago

Apr 4, 2019 · But this work in exactly the opposite direction then the problem we have here. Does anybody see how the auther here conclude that $\Delta_X$ is locally closed immersion?

Oct 3, 2013 · The relation of being locally isometric for Riemannian manifolds is reflexive and transitive. Is it symmetric? Can you give me an example?

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 …

Correct. Looking down two headings on the wikipedia page, you have: If the Lyapunov-candidate-function $ V$ is globally positive definite, radially unbounded and the time derivative of the …

May 24, 2021 · So what's the difference between locally cartesian closedness and regular cartesian closedness? Being locally cartesian closed tells you that each slice category is …

I am trying to show that a function that is locally constant on a connected space is, in fact, constant. I have looked at this related question but my approach is a little different than the …

Aug 19, 2020 · Locally closed subspace Ask Question Asked 5 years, 2 months ago Modified 5 years, 2 months ago

Show that every open subset of a locally connected space is locally connected. Ask Question Asked 10 years, 2 months ago Modified 10 years, 2 months ago