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 …

Aug 19, 2020 · Here is possibly a clearer equivalence of locally closed sets: Suppose (X, τ) (X, τ) is a topological space. A subset A A in (X, τ) (X, τ) is a locally closed subset of X X iff A = U …

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 …

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 …

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 …

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

Jul 4, 2024 · Ex. 3.2.2 of Qing Liu: Open immersion into locally Noetherian scheme is of finite type Ask Question Asked 1 year, 6 months ago Modified 1 year, 6 months ago

Jul 20, 2017 · Can someone help me understand the difference between locally simply-connected and semilocally simply-connected? I actually need more help understanding (with an …