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Results tagged with gt.geometric-topology
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user 99806
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
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Example of homeomorphism that lifts to real blow up but not C^1?
Given smooth manifold $M$, let $Bl_\Delta(M\times M)$ be the (say oriented; you can ask this question for the unoriented case too) real blow up of $M\times M$ along the diagonal and let $\pi:Bl_\Delta …
- 41
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vote
Example of homeomorphism that lifts to real blow up but not C^1?
Ok, here's an example: $$F:B=B^n_{1/(2e)}\subset\mathbb{R}^n\to\mathbb{R}^n,F(x)=-2\log(|x|)\cdot x,$$ where $B^n_{\epsilon}$ is the $n$-ball with radius $\epsilon$, and $F$ maps $B^n_{1/(2e)}$ homeom …
- 41