'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 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, 7 months ago Modified 13 days ago
ordinary differential equations - locally asymptotically stable ...
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 …
Locally Closed Immersion - Mathematics Stack Exchange
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?
general topology - Locally compact Hausdorff space is metrizable ...
Apr 11, 2016 · The irrationals are metrizable (by the Euclidean metric) but not locally compact (can you prove this?). 'Counterexamples in Topology' is a very handy reference if you have a …
Locally closed subspace - Mathematics Stack Exchange
Aug 19, 2020 · Locally closed subspace Ask Question Asked 5 years, 2 months ago Modified 5 years, 2 months ago
abstract algebra - Locally Noetherian schemes are quasiseparated ...
Sep 26, 2020 · Locally Noetherian schemes are quasiseparated Ask Question Asked 5 years, 1 month ago Modified 5 years, 1 month ago
Any example of a connected space that is not locally connected?
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 …
Show that every open subset of a locally connected space is locally ...
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
The product of locally compact spaces is locally compact
Nov 24, 2018 · In the presence of the Hausdorff condition, your definition is equivalent to what I would therefore call locally compact.