definition of metrizable topological space
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of topology induced by metric.
Target Context
- The reader will have a definition of metrizable 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: Structured Description
Here is the rules of Structured Description.
Entities:
\(*T\): \(\in \{\text{ the topological spaces }\}\), with the topology, \(O\)
//
Conditions:
\(\exists dist \in \{\text{ the metrics for } T\} (\text{ the topology induced by } dist = O)\)
//
