regularly open

Given a topological spaceMathworldPlanetmath (X,τ), a regularly openPlanetmathPlanetmath set is an open set Aτ such that


(the interior of the closurePlanetmathPlanetmath is the set itself).

An example of non regularly open set on the standard topology for is A=(0,1)(1,2) since intA¯=(0,2).

Title regularly open
Canonical name RegularlyOpen
Date of creation 2013-03-22 12:19:43
Last modified on 2013-03-22 12:19:43
Owner drini (3)
Last modified by drini (3)
Numerical id 5
Author drini (3)
Entry type Definition
Classification msc 54-00