real analysis - Locally essentially bounded function is locally ...
Nov 25, 2023 · Locally essentially bounded function is locally integrable Ask Question Asked 2 years, 2 months ago Modified 2 years, 2 months ago
Two definitions of a morphism (locally) of finite type
Oct 3, 2025 · Conversely, I do not know whether a the Stacks project's definition of a morphism of finite type (i.e. locally of finite type and quasi-compact) implies Hartshorne's definition of a morphism of …
Locally constant group schemes - Mathematics Stack Exchange
Sep 6, 2020 · AlexL 's answer is a good one, I just want to point out another thought process. Let G be a finite group scheme over X any scheme. If G is fppf locally on X constant then, in particular, the …
Locally closed subspace - Mathematics Stack Exchange
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 ∩A¯¯¯¯ A = …
Proof Verification: Morphism of Schemes is Locally of Finite Type
Dec 7, 2022 · In the scheme-theoretic language above, this is equivalent to: a morphism of affine schemes X → Y X → Y which is locally of finite type for the open cover Y Y [“locally of finite type” is …
general topology - Reasoning for definition of locally homeomorphic ...
Aug 22, 2017 · For example, the circle is locally homeomorphic to $\mathbb {R}$, but there is no local homeomorphism from the circle to the real line - for any such map, at some point the path needs to …
Locally Principal Ideal Domain - Mathematics Stack Exchange
Sep 7, 2020 · Locally Principal Ideal Domain [duplicate] Ask Question Asked 5 years, 5 months ago Modified 5 years, 4 months ago
Hereditarily locally connected spaces - Mathematics Stack Exchange
Jul 29, 2025 · Here, a space is called hereditarily locally connected ("hlc"), if each subset is locally connected. Note that this is much stronger than the usual definition, which requires only …
the topologist's sine circle is path-connected but it's not locally ...
May 8, 2015 · To show that this space is not locally path-connected, you can simply take small enough neighborhood of the point $ (0,1)$. Intersection of such neighborhood is not even connected. (This is …
Why $\\mathbb Q$ is not locally compact, connected, or path …
So the space is not locally connected (which is equivalent to every component of an open subset is open), because $\mathbb {Q}$ has no isolated points.