definition of compactly-supported map from topological space into ring or module
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of support of map from topological space into ring or module.
- The reader knows a definition of compact subset of topological space.
Target Context
- The reader will have a definition of compactly-supported map from topological space into ring or module.
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:
\( T\): \(\in \{\text{ the topological spaces }\}\)
\( S\): \(\in \{\text{ the rings }\} \cup \{\text{ the modules }\}\)
\(*f\): \(: T \to S\)
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Conditions:
\(supp f \in \{\text{ the compact subsets of } T\}\)
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