definition of local diffeomorphism between arbitrary subsets of \(C^\infty\) manifolds with boundary
Topics
About: \(C^\infty\) manifold
The table of contents of this article
Starting Context
Target Context
- The reader will have a definition of local diffeomorphism between arbitrary subsets of \(C^\infty\) manifolds 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:
\( M_1\): \(\in \{\text{ the } C^\infty \text{ manifolds with boundary }\}\)
\( M_2\): \(\in \{\text{ the } C^\infty \text{ manifolds with boundary }\}\)
\( S_1\): \(\subseteq M_1\)
\( S_2\): \(\subseteq M_2\)
\(*f\): \(: S_1 \to S_2\)
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Conditions:
\(\forall s \in S_1 (f \in \{\text{ the maps that are locally diffeomorphic at } s\})\)
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