Nov 25, 2023 · Locally essentially bounded function is locally integrable Ask Question Asked 2 years, 2 months ago Modified 2 years, 2 months ago

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 …

Dec 27, 2020 · Sheaves locally of finite presentation (and quasi-coherent sheaves more generally), on the other hand, always transform properly under pullback, since the pullback of the structure sheaf is …

Sep 6, 2020 · If G G is fppf locally on X X constant then, in particular, the morphism G → X G → X is fppf locally on X X etale since, after all, the constant group scheme is etale over its base. But, …

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 …

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.

Sep 7, 2020 · Locally Principal Ideal Domain [duplicate] Ask Question Asked 5 years, 5 months ago Modified 5 years, 4 months ago

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 …

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 …

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 = …