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Continuum Theory

Continua Session #3.3

Subevent of Continua Session #3

Heritage Hall Building 106

Times: 2026 Mar 12 from 11:10AM to 11:30AM (Central Time (US & Canada))

Dynamics on Fences

Jernej Cinc <jernej.cinc@um.si>, ICTP Trieste & University of Maribor

Coauthors: Udayan B. Darji and Benjamin Vejnar

Abstract:

We call a fence any compact metric space whose connected components are either points or arcs. In this talk I will present a very general method for raising maps of the Cantor space to various fences with dense set of endpoints, such as the Lelek Fence (in Complex Dynamics known also as the Hairy Cantor set) and Fraïssé Fence, while preserving the dynamics of the base homeomorphism of the Cantor space. As simple corollaries we obtain that Lelek Fan admits homeomorphisms with various dynamical properties.

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