Sign up or sign in

Topological Dynamics and Continuum Theory

Dynamics/CT Session #1 #1

Subevent of Dynamics/CT Session #1

Central Time (US & Canada)

Starts at: 2025-08-11 10:00AM

Ends at: 2025-08-11 10:25AM

Retract or Not: A Tale of Two Fans

Iztok Banic ⟨iztok.banic@um.si⟩

Abstract:

In this talk, we present structural and dynamical aspects of certain arcwise connected continua known as fans. First, we present conditions under which embeddings of the Lelek fan admit retractions, focusing on how features such as wedges and cuts influence retraction properties. Second, we address a classical open question about characterizing fans as unions of arcs intersecting in a single point. This is joint work with Goran Erceg, Sina Greenwood, Ivan Jelic, Judy Kennedy, and Van Nall.

Back to events