definition of retract of topological space
Topics
About: topological space
The table of contents of this article
- Starting Context
- Target Context
- Orientation
- Main Body
- 1: Structured Description
- 2: Natural Language Description
Starting Context
- The reader knows a definition of retraction.
Target Context
- The reader will have a definition of retract of topological space.
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:
\( T'\): \(\in \{\text{ the topological spaces }\}\)
\(*T\): \(\subseteq T'\), with the subspace topology
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Conditions:
\(\exists f: T' \to T (f \in \{\text{ the retractions }\})\)
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2: Natural Language Description
For any topological space, \(T'\), any subspace, \(T \subseteq T'\), such that there is a retraction, \(f: T' \to T\)
