Definition talk:Hausdorff Space/Definition 1

Separated by Open Sets
The definition separated by open sets does not yet exist, but I think adding the page could lead to confusion with Definition:Separated Sets and Definition:Separated Points which don't require $U$ and $V$ to be disjoint.

Therefore I suggest that the statement:


 * That is:
 * $\left({S, \tau}\right)$ is a $T_2$ space every two elements in $S$ are separated by open sets.

be dropped from the definition. --Leigh.Samphier (talk) 01:08, 28 March 2020 (EDT)


 * Not sure I agree. What we do is we make sure we are careful to define exactly what we mean by "separated" in all the situations where the word is used. --prime mover (talk) 02:07, 28 March 2020 (EDT)