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Results tagged with gt.geometric-topology
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user 70453
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).
12
votes
Accepted
$(n-1)$-dimensional sphere in $S^n$ such that the closure of a component of complement is no...
I want to thank Ian Agol for his comments which helped point me in the right direction. In particular, he told me that if $f:S^{n-1} \rightarrow S^n$ is a topological embedding, then the closures of …
- 291
17
votes
1
answer
356
views
$(n-1)$-dimensional sphere in $S^n$ such that the closure of a component of complement is no...
Let $f:S^{n-1} \rightarrow S^n$ be a topological embedding and let $A_f$ and $B_f$ be the components of $S^n \setminus f(S^{n-1})$. If $\overline{A}_f$ and $\overline{B}_f$ are manifolds with boundar …
- 291