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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
- algebraic geometry - Constant sheaf vs locally constant sheaf . . .
7 I'm getting very confused distinguishing the difference between a locally constant sheaf and a constant sheaf $\textbf {Constant sheaf}$: Let M be a vector space
- Exact meaning of every 2d manifold is locally conformal flat
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 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
- Sheaf of sections of a covering space is locally constant
I wish to prove that for $\\pi : Y \\to X$ a covering space (spaces involved are Hausdorff, semilocally simply connected, path connected, and locally path connected, among other things), the sheaf $$ \\
- Higher direct image of a locally constant sheaf
I am trying (struggling) with understanding the local system structure of the higher direct image of a locally constant sheaf Say I have a locally trivial fibration $f: X\longrightarrow B$, with fiber $F$, and a locally constant sheaf, say $\mathbb {Z}$ over $X$
- general topology - When is a Borel measure locally finite . . .
Question 2: Is a Borel measure on a $\sigma$ -compact space locally finite? I've asked this question before here, and a counterexample to Question 2 is proposed, but the counterexample actually doesn't work (see comments in that answer)
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