1134: Compactly-Supported Map from Topological Space into Ring or Module

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definition of compactly-supported map from topological space into ring or module

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Topics

About: topological space

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description

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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.

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Target Context

• The reader will have a definition of compactly-supported map from topological space into ring or module.

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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.

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Main Body

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1: Structured Description

Here is the rules of Structured Description.

Entities:
$T$: $\in \{\text{ the topological spaces }\}$
$S$: $\in \{\text{ the rings }\}\cup \{\text{ the modules }\}$
$\ast f$: $:T\to S$
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Conditions:
$suppf\in \{\text{ the compact subsets of }T\}$
//

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References

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