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Results tagged with manifolds
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user 62195
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.
6
votes
1
answer
139
views
Whether the manifold part of an Alexandrov space is connected?
The title is my question.
Alexandrov space here means finite dimensional Alexandrov space with curvature bounded below ,denoted by CBB.
Let $\gamma$ be a simple curve in a $n$ dimensional CBB $M$ wi …
- 285
7
votes
1
answer
2k
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The relation between Hausdorff dimension of an $n$-manifold and $n$
For the case of manifolds, suppose $M$ is a $n$-manifold with a metric(distance), from https://math.stackexchange.com/questions/931628/hausdorf-dimension-of-a-manifold-of-dimension-n, we know that $dim_H …
- 285