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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.
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
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
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
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 …