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

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

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 …

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.

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 …

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 …

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

Oct 16, 2019 · There is already a notion of saturated, where the quotient is only assumed to be torsion-free, not locally free, so may be you should use another word.

Aug 23, 2017 · X is locally homeomorphic to Y if there is a local homeomorphism f: X → Y. You are trying to define "local homeomorphism", but the subtle point you omit is that U is not …