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- the equivalence of two definitions of locally closed sets
the equivalence of two definitions of locally closed sets Ask Question Asked 11 years, 7 months ago Modified 26 days ago
- Locally closed subspace - Mathematics Stack Exchange
Locally closed subspace Ask Question Asked 5 years, 3 months ago Modified 5 years, 3 months ago
- Locally compact metric space - Mathematics Stack Exchange
So any incomplete locally compact metric space is a counter-example to "only if" Moreover, as mentioned Tsemo Aristide's answer, any non-compact metric space, even a proper one, has the same topology as some improper metric space
- Locally Closed Immersion - Mathematics Stack Exchange
But this work in exactly the opposite direction then the problem we have here Does anybody see how the auther here conclude that $\Delta_X$ is locally closed immersion?
- Exact meaning of every 2d manifold is locally conformal flat
Note that local conformal flatness is a property of Riemannian manifold, so you need to specify a Riemannian metric Amazingly, every 2-dimensional Riemannian manifold is locally conformally flat - this is the theorem you are referring to
- When is the union of two locally closed subsets locally closed?
It isn't true in general that the union of two locally closed subsets (i e , subsets of the form open $\\cap$ closed) are locally closed, so is there some standard condition that guarantees it?
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