457: Euclidean \(C^\infty\) Manifold

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A definition of Euclidean \(C^\infty\) manifold

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Topics

About: \(C^\infty\) manifold

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Definition

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Starting Context

• The reader knows a definition of \(C^\infty\) manifold.
• The reader knows a definition of Euclidean topological space.

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Target Context

• The reader will have a definition of Euclidean \(C^\infty\) manifold.

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Orientation

There is a list of definitions discussed so far in this site.

There is a list of propositions discussed so far in this site.

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Main Body

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1: Definition

Any Euclidean topological space, \(\mathbb{R}^n\), with the standard atlas with the standard chart, \((\mathbb{R}^n \subseteq \mathbb{R}^n, id)\)

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References

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