A definition of final map between directed sets
Topics
About: set
The table of contents of this article
Starting Context
- The reader knows a definition of directed set.
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 \(p_2 \leq f (p_1)\)
