definition of open map
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 map.
Target Context
- The reader will have a definition of open map.
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:
\( T_1\): \(\in \{\text{ the topological spaces }\}\)
\( T_2\): \(\in \{\text{ the topological spaces }\}\)
\(*f\): \(: T_1 \to T_2\)
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Conditions:
\(\forall U \in \{\text{ the open subsets of } T_1\} (f (U) \in \{\text{ the open subsets of } T_2\})\)
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