open mapping

Let X and Y be two topological spacesMathworldPlanetmath. A function f:XY is said to be open if f(U) is open for each open subset U of X.

Accordingly, if f(C) is closed for each closed subset C of X, we say that f is closed.

Title open mapping
Canonical name OpenMapping
Date of creation 2013-03-22 13:12:45
Last modified on 2013-03-22 13:12:45
Owner Koro (127)
Last modified by Koro (127)
Numerical id 4
Author Koro (127)
Entry type Definition
Classification msc 54C10
Synonym open function
Defines closed function
Defines closed mapping