Article ID Journal Published Year Pages File Type
4659607 Topology and its Applications 2011 5 Pages PDF
Abstract

Let X be a topological space, f:X→X be a continuous map, and Y be a compact, connected and closed subset of X. In this paper we show that, if the boundary ∂XY contains exactly one point v and f(v)∈Y, then Y contains a minimal set of f.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology