definition of universal net with directed index set
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of net with directed index set eventually in subset.
Target Context
- The reader will have a definition of universal net with directed index set.
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:
\( D\): \(\in \{\text{ the directed sets }\}\)
\( T\): \(\in \{\text{ the topological spaces }\}\)
\(*f\): \(: D \to T\)
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Conditions:
\(\forall S \subseteq T (f \in \{\text{ the nets eventually in } S\} \lor f \in \{\text{ the nets eventually in } T \setminus S\})\)
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