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Results tagged with gt.geometric-topology
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user 147463
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).
3
votes
1
answer
315
views
A detail in Brown's proof of the generalized Schoenflies theorem
Consider a homeomorphic embedding $h:S^{n-1}\times [0,1]\rightarrow S^n$ and denote
$$S^{n-1}_t=h(S^{n-1}\times \{t\}).$$
The generalized Schoenflies theorem states the closure of each connected compo …
- 1,225
2
votes
1
answer
213
views
Link invariants distinguishing components
I was recently thinking about links where each component plays the same role: for every permutation of components, there is an isotopy permuting these components in the prescribed way. In the vein of …
- 1,225
2
votes
Accepted
A detail in Brown's proof of the generalized Schoenflies theorem
Update: The argument I previously provided was incorrect. I will now outline a correct argument, followed by the incorrect argument and an explanation of what went wrong.
Correct Explanation:
By Alexa …
- 1,225