451: Chart on Topological Manifold

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A definition of chart on topological manifold

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Topics

About: topological 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 topological manifold.
• The reader knows a definition of homeomorphism.

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Target Context

• The reader will have a definition of chart on topological 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

For any topological manifold, $M$, the pair of any open subset, $U\subseteq M$, and any homeomorphism, $\varphi :U\to \varphi (U)\subseteq {\mathbb{R}}^n$, where $\varphi (U)$ is any open subset of ${\mathbb{R}}^n$, denoted as $(U\subseteq M,\varphi )$

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References

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