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Results tagged with manifolds
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user 1822
A manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.
11
votes
Can an action of a compact Lie group be nontrivial if it is trivial on the boundary?
Yes, it follows that the action of $G$ on all of $M$ is trivial. In brief this follows from what is known as "local Smith theory." Replace M by the union of $M$ and an open boundary collar on which $G …
- 3,376
12
votes
Accepted
Question concerning h-cobordisms
For a counterexample take a non-simply connected homology sphere bounding a contractible manifold and remove the interior of a small ball from the contractible manifold. Such homology spheres exist in …
- 3,376