Oct 24, 2025 · the equivalence of two definitions of locally closed sets Ask Question Asked 11 years, 9 months ago Modified 2 months ago

Jun 2, 2020 · My question is a rather basic one, can we establish that local convexity of this kind implies global convexity? Are any extra conditions needed? My intuition suggests that a …

Here's a scan of the first edition of the text, where the only change from the second (latest) edition referred to above is that the last sentence now reads "This is called the local Lipschitz …

Jan 17, 2025 · I am reading Daniel Huybrechts's The Geometry of moduli spaces of sheaves. In the introduction of chapter 5. He uses the following result: Proposition: Any saturated subsheaf …

Aug 19, 2020 · Locally closed subspace Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago

The openness of path components of any open subset is equivalent to locally path connectedness of the space. But there do exist a simply connected space that is not locally connected.

Feb 6, 2023 · Clearly locally finite measures are Borel. And if E E is also locally compact (i.e., every x ∈ E x ∈ E has a neighborhood U ∋ x U ∋ x for which U¯¯¯¯ U is compact), then clearly …

Sep 26, 2020 · Locally Noetherian schemes are quasiseparated Ask Question Asked 5 years, 3 months ago Modified 5 years, 3 months ago

May 29, 2023 · A Hausdorff topological vector space is locally convex if and only if $0$ has a neighborhood base of balanced, convex, absorbing space Ask Question Asked 2 years, 7 …

Jun 7, 2024 · In my book, when It comes to prove that the integral function Is continuos on an interval X, It shows that it's "locally Lipschitz" on X and, therefore, continuos. At a …