Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4659607 | Topology and its Applications | 2011 | 5 Pages |
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