Wallman compactification

Wallman compactification is a particular compactification of T 1T_1-topological spaces introduced in

  • Henry Wallman, Lattices and topological spaces, Annals of Math. 39:1 (Jan., 1938), pp. 112-126 jstor

There are recent applications related to topoi and noncommutative geometry

A Wallman base BB for a topological space XX is a sublattice of of the frame Open(X)Open(X) of open sets of XX which is a base for the topology and satisfies the property that for any UBU\in B and xUx\in U there exists VBV\in B such that UV=XU\cup V = X and xVx\notin V.

Standard references are

category: topology

Created on April 24, 2013 at 19:15:14. See the history of this page for a list of all contributions to it.