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Bookmark or Share- the equivalency of two definitions of locally closed setsTour Start here for a quick overview of the site
- The definition of locally Lipschitz - Mathematics Stack ExchangeActually, 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 Lipschitz". $\endgroup$ –
- How do you prove a CW complex is locally path connected$\begingroup$ They're not just locally path-connected, they're locally contractible. There's a key theorem about CW-complexes, that the inclusion of any of any subcomplex into the entire CW-complex is a cofibration.
- A locally injective but non globally injective function?Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
- differential geometry - Every manifold is locally compact ...$\begingroup$ I was using locally compact = condition (3) in wikipedia = this condition in pi-base. Your condition is condition (2) from wikipedia = this condition in pi-base . I think you are right: loc Euclidean implies condition (3) but probably not condition (2) (although the line with two origins does satisfy condition (2) and (3).
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