Ivan Shishkin, Birch Grove

Topological manifold

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7/27/2026, 10:22:32 AM · Ancient Tree

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1A topological manifold of dimension $n$ is a [[Topological space|topological space]] $M$ that is [[Hausdorff|Hausdorff]], [[Second-countable space|second-countable]], and that is locally euclidean, that is, every point of $M$ has an [[Open neighborhood|open neighborhood]] that is [[Homeomorphism|homeomorphic]] to an [[Open set|open subset]] of $\R^{n}$.
1A topological manifold of dimension $n$ is a [[Topological space|topological space]] $M$ that is [[Hausdorff space|Hausdorff]], [[Second-countable space|second-countable]], and that is locally euclidean, that is, every point of $M$ has an [[Open neighborhood|open neighborhood]] that is [[Homeomorphism|homeomorphic]] to an [[Open set|open subset]] of $\R^{n}$.

Revision 656

7/27/2026, 10:20:11 AM · Ancient Tree

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1## Intuitive definition
1A topological manifold of dimension $n$ is a [[Topological space|topological space]] $M$ that is [[Hausdorff|Hausdorff]], [[Second-countable space|second-countable]], and that is locally euclidean, that is, every point of $M$ has an [[Open neighborhood|open neighborhood]] that is [[Homeomorphism|homeomorphic]] to an [[Open set|open subset]] of $\R^{n}$.
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3To be completed.
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5## Formal definition
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7To be completed with LaTeX.
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9## Examples
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11- Example linked to [[polynomial]].

Revision 454

7/16/2026, 11:08:07 AM · Ancient Tree

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## Intuitive definition

To be completed.

## Formal definition

To be completed with LaTeX.

## Examples

- Example linked to [[polynomial]].