Sign up or sign in
logo
  1. Topology and Dynamics
  2. Icon: chevron
  3. SumTopo
  4. Icon: chevron
  5. 2026

Continuum Theory

Icon: calendar CT Session Talk #1.4 | 2026 Jul 13 from 12:00PM to 12:25PM (Zagreb) | A0-1

Subevent of CT Session #1

‟Interruptions and Chaos on Non-smooth fans” by Jimmy Zakeršnik <jimmy.zakersnik1@um.si>, University of Maribor, Slovenia

Abstract:

In this talk, we present the construction and dynamical properties of a family of arcwise connected continua known as fans. Firstly, we present a construction that, for any smooth fan $X$ containing a top and at least one accumulating leg, produces an uncountable family of pairwise non-homeomorphic non-smooth fans, such that the set of endpoints of each of them is homeomorphic to the set of endpoints of $X$. Secondly, we show that this construction preserves certain dynamical properties such as topological mixing, and some types of chaos. Finally, we apply the results of the paper on a few well-known examples.