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

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

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

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, …

Apr 20, 2020 · 7 I'm getting very confused distinguishing the difference between a locally constant sheaf and a constant sheaf. $\textbf {Constant sheaf}$: Let M be a vector space.

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.

May 9, 2021 · Henno Brandsma’s answer tells us that in fact pointwise countable partitions give rise to locally finite ones. That’s quite cool and relevant, but my question really is about asking what major …

Jun 19, 2020 · Sorry for my lack of extract. In ,III. Proposition 6.5 , Hartshorne named loacally free of finite rank resolution "locally free resolution".

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 …