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Results tagged with gt.geometric-topology
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user 170240
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).
8
votes
1
answer
643
views
Wild spheres in higher dimensions
I was wondering whether anyone had any intuition (or references) as to particular reasons why there are no wild spheres of codimension 1 (where by wild we mean not flat) in higher dimensions $n>3$ tha …
- 343
0
votes
Bing sling isotopy to unknot
Okay so I think i may (hopefully) have an idea as to what is going wrong here. Let me attempt to give an outline:
First let us consider the example i wrote in the comments to Shijie Gu's answer.
Let $ …
- 343
10
votes
2
answers
618
views
Bing sling isotopy to unknot
Rolfsen asked the question as to whether any knot is topologically isotopic to the unknot. Where a topological isotopy is a continuous path in $\operatorname{Emb}(S^1,\mathbb{R}^3)$.
From now on I wil …
- 343