Article ID Journal Published Year Pages File Type
4661510 Topology and its Applications 2007 6 Pages PDF
Abstract

Given a function defined on the support of a ballean, we introduce the notion of slow oscillation in direction of a filter on X. We show that there exists a filter on X responsible for the rate of slow oscillation of f at infinity. We apply this result to the Stone–Čech compactifications of discrete groups.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology