definition of vectors bundle of rank \(k\)
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of topological space.
- The reader knows a definition of locally trivial surjection of rank \(k\).
Target Context
- The reader will have a definition of vectors bundle of rank \(k\).
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:
\( T\): \(\in \{\text{ the topological spaces }\}\)
\( E\): \(\in \{\text{ the topological spaces }\}\)
\( k\): \(\in \mathbb{N} \setminus \{0\}\)
\( \pi\): \(: E \to T\), \(\in \{\text{ the locally trivial surjections of rank } k\}\)
\(*(E, T, \pi)\):
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Conditions:
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2: Note
This definition does not means that a \(\pi\) exists for any arbitrary \(T\) and \(E\); it means that if a \(\pi\) exists, \((E, T, \pi)\) is a vectors bundle.
