2022-11-13

394: Quotient Map

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A definition of quotient map

Topics


About: topological space

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of quotient map.

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 spaces, \(T_1, T_2\), any continuous surjection, \(f: T_1 \rightarrow T_2\), such that for any subset, \(S \subseteq T_2\), if \(f^{-1} (S)\) is open, \(S\) is open


References


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