2022-09-11

346: Normal Topological Space

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A definition of normal topological space

Topics


About: topological space

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of normal 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


Any topological space, \(T\), such that for any disjoint closed sets, \(C_1, C_2 \subseteq T\), there are some disjoint open sets, \(U_1, U_2 \subseteq T\), such that \(C_1 \subseteq U_1\) and \(C_2 \subseteq U_2\)


References


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