2022-10-30

378: Final Map Between Directed Sets

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A definition of final map between directed sets

Topics


About: set

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of final map between directed sets.

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 directed sets, \(S_1, S_2\), any map, \(f: S_1 \rightarrow S_2\), such that for any \(p_2 \in S_2\), there is a \(p_1 \in S_1\) such that \(p_2 \leq f (p_1)\)


References


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