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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, 8 months ago Modified 1 month ago
- Locally closed subspace - Mathematics Stack Exchange
Locally closed subspace Ask Question Asked 5 years, 3 months ago Modified 5 years, 3 months ago
- Any example of a connected space that is not locally connected?
Now is there any easy enough example of a connected space that fails to be locally connected at some point? One example adduced by Munkres is the so-called topologist's sine curve, but I'm not sure why it is not locally connected
- Any saturated subsheaf of a locally free sheaf is again locally free
I am reading Daniel Huybrechts's The Geometry of moduli spaces of sheaves In the introduction of chapter 5 He uses the following result: Proposition: Any saturated subsheaf of a locally free she
- algebraic geometry - Mathematics Stack Exchange
My attempt so far seems to sort of blow by this, and I'm not confident it's correct - if it were true, it would seem that I can completely remove the regularity condition, which seems a little drastic (I would expect that we at least need something like regular in codimension one or locally factorial)
- Locally finite vs. Borel measures on $\sigma$-compact Polish spaces
I can’t think of a counter example to this, but I’m having trouble proving it My original strategy was to prove that a $\sigma$ -compact Polish space is locally compact However, as the comments demonstrate, $\sigma$ -compact Polish spaces are not necessarily locally compact, so that strategy doesn’t work
- general topology - Show that every locally compact Hausdorff space is . . .
Show that every locally compact Hausdorff space is completely regular Ask Question Asked 6 years, 8 months ago Modified 2 years ago
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