Dold sequences, periodic points, and dynamics
Jakub Byszewski, Grzegorz Graff, Thomas Ward
TL;DR
This survey explores the Dold congruence's role in topology and its connection to counting periodic points in dynamical systems, highlighting their interplay and significance.
Contribution
It provides a comprehensive overview of the Dold congruence and its applications in understanding periodic points in dynamical systems.
Findings
Dold congruence links topology and dynamics.
Periodic point counting methods are discussed.
Connections between topology and dynamical systems are elucidated.
Abstract
In this survey we describe how the so-called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
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