definition of closed upper half Euclidean \(C^\infty\) manifold with boundary
Topics
About: \(C^\infty\) manifold
The table of contents of this article
Starting Context
- The reader knows a definition of \(C^\infty\) manifold with boundary.
- The reader knows a definition of closed upper half Euclidean topological space.
Target Context
- The reader will have a definition of closed upper half Euclidean \(C^\infty\) manifold with boundary.
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.
Main Body
1: Structured Description
Here is the rules of Structured Description.
Entities:
\(*\mathbb{H}^d\): \(= \text{ the closed upper half Euclidean topological space }\) with the standard atlas with the standard chart, \((\mathbb{H}^d \subseteq \mathbb{H}^d, id)\), \(\in \{\text{ the } C^\infty \text{ manifolds with boundary }\}\)
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