457: Euclidean C∞ Manifold

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definition of Euclidean $C^{\mathrm{\infty }}$ manifold

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Topics

About: $C^{\mathrm{\infty }}$ manifold

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description

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Starting Context

• The reader knows a definition of $C^{\mathrm{\infty }}$ manifold.
• The reader knows a definition of Euclidean topological space.

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Target Context

• The reader will have a definition of Euclidean $C^{\mathrm{\infty }}$ 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: Structured Description

Here is the rules of Structured Description.

Entities:
$\ast {\mathbb{R}}^d$: $=\text{ the Euclidean topological space }$ with the standard atlas with the standard chart, $({\mathbb{R}}^d\subseteq {\mathbb{R}}^d,id)$
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Conditions:
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References

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