Chain Recurrence and Strong Chain Recurrence on Uniform Spaces

Author

Ethan Akin, Missouri University of Science and TechnologyFollow
Jim Wiseman

Abstract

We extend the theory of the chain relation (based on Conley's notion of chain recurrence) and the strong chain relation (based on Easton's strong chain recurrence) from the setting of continuous maps on compact spaces to general relations on uniform spaces, following the barrier function approach introduced by Fathi and Pageault. We consider equivalent characterizations of these relations, Lyapunov functions, and attractors.

Recommended Citation

E. Akin and J. Wiseman, "Chain Recurrence and Strong Chain Recurrence on Uniform Spaces," Contemporary Mathematics, vol. 736, pp. 1 - 29, American Mathematical Society, Jan 2019.

The definitive version is available at https://doi.org/10.1090/conm/736/14831

Department(s)

Mathematics and Statistics

Comments

Simons Foundation, Grant 282398

International Standard Serial Number (ISSN)

1098-3627; 0271-4132

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2026 American Mathematical Society, All rights reserved.

Publication Date

01 Jan 2019