definition of \(\omega\)-accumulation point of subset of topological space
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of neighborhood of point on topological space.
Target Context
- The reader will have a definition of \(\omega\)-accumulation point of subset 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:
\( T\): \(\in \{\text{ the topological spaces }\}\)
\( S\): \(\subseteq T\)
\(*t\): \(\in T\)
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Conditions:
\(\forall U_t \in \{\text{ the open neighborhoods of } t\} (U_t \cap (S \setminus \{t\}) \in \{\text{ the infinite sets }\})\)
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