2023-12-17

432: Interior of Subset of Topological Space

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A definition of interior of 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 interior 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: Definition


For any topological space, \(T\), and any subset, \(S \subseteq T\), the largest open subset, \(int S \subseteq T\), contained in \(S\), which is \(int S \subseteq S\)


References


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