Reversibility in the group of homeomorphisms of the circle
Nick Gill, Anthony G. O'Farrell, Ian Short
TL;DR
This paper characterizes which elements of the circle's homeomorphism group can be written as a product of two involutions, shedding light on the structure and symmetry properties of these transformations.
Contribution
It provides a complete identification of elements in the homeomorphism group of the circle that are reversible as products of two involutions.
Findings
Characterization of involution products in circle homeomorphisms
Identification of reversible elements in the group
Insights into symmetry and structure of circle homeomorphisms
Abstract
We identify those elements of the homeomorphism group of the circle that can be expressed as a composite of two involutions.
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