| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659390 | Topology and its Applications | 2011 | 4 Pages |
Abstract
Let f:C→C be a self-map of the pseudo-circle C. Suppose that C is embedded into an annulus A, so that it separates the two components of the boundary of A. Let F:A→A be an extension of f to A (i.e. F|C=f). If F is of degree d then f has at least |d−1| fixed points. This result generalizes to all plane separating circle-like continua.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
