Dynamics of Discontinuous Maps Via Closed Relations

Author

Ethan Akin, Missouri University of Science and TechnologyFollow

Abstract

For the dynamics of a discontinuous map on a compact metric space, we describe an approach using suitable closed relations and connect it with the continuous dynamics on an invariant Gδ subset and with the continuous dynamics on the compact space of sample paths. © 2012 Topology Proceedings.

Recommended Citation

E. Akin, "Dynamics of Discontinuous Maps Via Closed Relations," Topology Proceedings, vol. 41, pp. 271 - 310, Auburn University; Nipissing University, May 2013.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Almost Oneto-One Map; Almost Open Map; Closed Relation; Discontinuous Map; Irreducible Map; Quasi-Continuous Map; Suitable Relation

International Standard Serial Number (ISSN)

0146-4124

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2026 Auburn University; Nipissing University, All rights reserved.

Publication Date

06 May 2013