functional analysis - Understanding bounded sets locally convex direct ...
3 days ago · Understanding bounded sets locally convex direct/inductive limit of topological vector spaces.
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
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, …
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 …
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 …
differential topology - What does "locally trivial" do for us ...
Is that correct or is there a counterexample (going either way)? The more important question is, what does locally trivial actually do for us? a. There is a trivial example of fibred manifold that is not a fibre …
Closed and open subsets of locally compact Hausdorff space are locally ...
These questions have been asked to death, but I found the proof for "open subsets of locally compact Hausdorff space are locally compact" too tedious in each of the answers I have sampled on MSE, for
Exact meaning of "every 2d manifold is locally conformal flat"
May 5, 2025 · The definition is given in the third paragraph on the Wikipedia article (also see the following paragraph for differences in naming). Note that local conformal flatness is a property of …
'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 …