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Results tagged with gt.geometric-topology
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user 16862
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
Involutions of $S^2$
Yes, your three examples are the only three up to conjugation by a homeomorphism. In the orientation-preserving case, this is a theorem of Kerekjarto (Sur les groupes compacts de transformations topo …
- 687
9
votes
1
answer
732
views
Metric spheres in CAT(0) manifolds
Let $X$ be a topological manifold of dimension $n$, equipped with a compatible CAT(0) metric.
Are sufficiently small metric spheres in $X$ homeomorphic to metric spheres in Euclidean space $\mathbb{E} …
- 687