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Results tagged with gn.general-topology
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user 391
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
12
votes
What are parabolic bundles good for?
The paper by Agnihotri and Woodward, Eigenvalues of products of unitary matrices and quantum Schubert calculus, uses a Narasimhan-Seshadri correspondence between parabolic bundles and unitary connecti …
- 27.9k
11
votes
Examples where it's useful to know that a mathematical object belongs to some family of objects
I don't know if this qualifies, because like Daniel Litt, I'm not sure I understand the question. Nonetheless...
Frequently in algebraic geometry to show $\chi_0$ has some open niceness property, e.g …
6
votes
Is it true that all sphere bundles are some double of disk bundle?
The connected double cover of $S^1$ (boundary of the Möbius strip) is an $S^0$ bundle that is not the double of the unique $0$-disc bundle over $S^1$.
- 27.9k
6
votes
Accepted
Simply connectedness of minimal resolution of Kleinian singularities
Yes it is simply connected. In general the retraction of $\mathbb C^2$ to $0$ will retract the resolution to the $0$ fiber, which is a tree of $\mathbb{CP}^1$s, hence homotopic to a wedge of $2$-spher …
- 27.9k