
Topological manifold
Concept history
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Revision 7476
10/19/2026, 9:31:30 PM · Ancient Tree
Added exercise "Une croix comme variété topologique ?"
linked exercisesUn cercle est une variété topologiqueUn cercle est une variété topologique, Une croix comme variété topologique ?
Revision 7465
10/19/2026, 8:47:53 PM · Ancient Tree
Added exercise "Un cercle est une variété topologique"
linked exercisesNoneUn cercle est une variété topologique
Revision 658
7/27/2026, 10:22:32 AM · Ancient Tree
Concept edited
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A 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 $\R^{n}$.1
A 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
Concept edited
Compare with revision 45412 changed lines
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## Intuitive definition1
A 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 $\R^{n}$.2
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To be completed.4
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## Formal definition6
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To be completed with LaTeX.8
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## Examples10
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- Example linked to [[polynomial]].Revision 454
7/16/2026, 11:08:07 AM · Ancient Tree
Concept created
## Intuitive definition To be completed. ## Formal definition To be completed with LaTeX. ## Examples - Example linked to [[polynomial]].