definition of Euclidean \(C^\infty\) manifold
Topics
About: \(C^\infty\) manifold
The table of contents of this article
Starting Context
- The reader knows a definition of \(C^\infty\) manifold.
- The reader knows a definition of Euclidean topological space.
Target Context
- The reader will have a definition of Euclidean \(C^\infty\) manifold.
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:
\(*\mathbb{R}^d\): \(= \text{ the Euclidean topological space }\) 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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