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

Aug 19, 2020 · Locally closed subspace Ask Question Asked 5 years, 3 months ago Modified 5 years, 3 months ago

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.

Jul 4, 2024 · Ex. 3.2.2 of Qing Liu: Open immersion into locally Noetherian scheme is of finite type Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago

Jan 3, 2018 · Now is there any easy enough example of a connected space that fails to be locally connected at some point? One example adduced by Munkres is the so-called topologist's sine curve, …

The correct theorem is "if X X is a complete locally compact geodesic metric space then every closed metric ball in X X is compact. This is a form of the classical Hopf-Rinow theorem from Riemannian …

Clearly, every compact metric space is locally compact. I always get confused when completeness is introduced into the picture. Which of the following are true? What are some easy counterexamples to

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 …

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!