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
general topology - Show that every locally compact Hausdorff space is ...
Apr 16, 2019 · Show that every locally compact Hausdorff space is completely regular Ask Question Asked 6 years, 8 months ago Modified 2 years 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 …
The definition of locally Lipschitz - Mathematics Stack Exchange
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 …
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 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 curve, …
Locally finite vs. Borel measures on $\sigma$-compact Polish spaces
I can’t think of a counter example to this, but I’m having trouble proving it. My original strategy was to prove that a $\sigma$ -compact Polish space is locally compact. However, as the comments …
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 …
Definition of locally convex topological vector space
From Wiki A locally convex topological vector space is a topological vector space in which the origin has a local base of absolutely convex absorbent sets. Also from Wiki Locally convex topologi...