801: Closed Upper Half Euclidean C∞ Manifold with Boundary

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definition of closed upper half Euclidean $C^{\mathrm{\infty }}$ manifold with boundary

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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 with boundary.
• The reader knows a definition of closed upper half Euclidean topological space.

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Target Context

• The reader will have a definition of closed upper half Euclidean $C^{\mathrm{\infty }}$ manifold with boundary.

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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:
$\ast {\mathbb{H}}^d$: $=\text{ the closed upper half Euclidean topological space }$ with the standard atlas with the standard chart, $({\mathbb{H}}^d\subseteq {\mathbb{H}}^d,id)$, $\in \{\text{ the }{C}^{\mathrm{\infty }}\text{ manifolds with boundary }\}$
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References

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