definition of closed subset of topological space
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 open subset of topological space.
Target Context
- The reader will have a definition of closed 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:
\( T\): \(\in \{\text{ the topological spaces }\}\), with any topology, \(O\)
\(*C\): \(\subseteq T\)
Conditions:
\(\exists U \in O (C = T \setminus U)\)
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