2025-10-19

1364: \(G_\delta\) Subset of Topological Space

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definition of \(G_\delta\) subset of topological space

Topics


About: topological space

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of \(G_\delta\) 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:
\( T\): \(\in \{\text{ the topological spaces }\}\)
\(*S\): \(\subseteq T\)
//

Conditions:
\(\exists J \subseteq \mathbb{N}, \exists f: J \to \{\text{ the open subsets of } T\} (S = \cap_{j \in J} f (j))\)
//


References


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