T-D-space

A topological space $X$ satisfies the **$T_D$ separation axiom** if, given any element $a$ of $X$, the singleton subset $\{a\}$ is an open subspace in the induced topology on its own closure. In other words, for every point $a$, there is a neighbourhood $U$ of $a$ such that the intersection of $U$ and $Cl\{a\}$ is $\{a\}$.

Created on July 1, 2010 at 17:41:45. See the history of this page for a list of all contributions to it.