A note on weak conjugacy for homeomorphisms of surfaces
Fr\'ed\'eric Le Roux, Alejandro Passeggi, Martin Sambarino, Maxime, Wolff
TL;DR
This paper investigates the concept of weak conjugacy within the group of surface homeomorphisms isotopic to the identity, providing insights into their structural relationships.
Contribution
It introduces and analyzes the notion of weak conjugacy specifically for homeomorphisms of surfaces, expanding understanding of their classification.
Findings
Characterization of weak conjugacy classes
Relationships between weak conjugacy and isotopy
Implications for surface homeomorphism classification
Abstract
We explore the relation of weak conjugacy in the group of homeomorphisms isotopic to the identity, for surfaces.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Geometric and Algebraic Topology · Advanced Differential Equations and Dynamical Systems