regularly open


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

intA¯=A

(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