definition of Hausdorff topological space
Topics
About: topological space
The table of contents of this article
Starting Context
- The reader knows a definition of topological space.
- The reader knows a definition of neighborhood of point on topological space.
Target Context
- The reader will have a definition of Hausdorff 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:
\(*T\): \(\in \{\text{ the topological spaces }\}\)
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Conditions:
\(\forall t_1, t_2 \in T \text{ such that } t_1 \neq t_2 (\exists N_{t_1} \in \{\text{ the neighborhoods of } t_1 \text{ on } T\}, \exists N_{t_2} \in \{\text{ the neighborhoods of } t_2 \text{ on } T\} (N_{t_1} \cap N_{t_2} = \emptyset))\)
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