Exact meaning of "every 2d manifold is locally conformal flat"
2025年5月5日 · 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 of …
Two definitions of a morphism (locally) of finite type
2025年10月3日 · 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 …
(Constructive) classification of simple, finite, locally $C_7$ graphs
2025年5月17日 · I am looking for an (if possible constructive) classification of those finite, simple graphs (no loops, no multi-edges), where the open neighbourhood of each vertex (excluding that vertex aka …
The definition of locally Lipschitz - Mathematics Stack Exchange
Actually, a continuously differentiable function is locally Lipschitz, but since the derivative isn't assumed continuous in the theorem, one has only the weaker property that might be dubbed "pointwise …
general topology - Definition of locally connected topological space ...
2025年12月6日 · A topological space is locally connected if every point admits a neighbourhood basis consisting of open connected sets. To the definition given by Lee (Introduction to topological …
Terminology for local contractibility: "locally contractible" vs ...
2025年11月18日 · I'm working on formalizing locally contractible spaces in Mathlib (the mathematics library for the Lean theorem prover), and I've encountered conflicting terminology in the literature …
On the Definition of Locally Simply Connected Space
2025年1月31日 · From some research I made in the literature, it seems to me that topologists did not pay much attention to a careful study of the notion of locally simply connected space, contrary to …
calculus - Pointwise Lipschitz and locally Lipschitz - Mathematics ...
2023年9月24日 · Pointwise Lipschitz and locally Lipschitz Ask Question Asked 2 years, 6 months ago Modified 2 years, 6 months ago
functional analysis - Mazur's theorem for locally convex topologies ...
2025年8月25日 · I am reading some papers on operators acting on Banach spaces and one of them uses the following fact: If a vector space has two locally convex topologies with identical collections …
calculus - Locally Lipschitz function and continuity - Mathematics ...
2024年6月7日 · 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 First read, I didn't