Abstract: The pseudoarc is an intriguing continuum that was discovered by Knaster 100 years ago. While its structure is very complicated, Bing proved that from topological perspective, pseudoarc is the typical continuum to encounter in the plane. In this talk I will present selected results connecting pseudoarc as topological object with main emphasis on possible dynamics that can be seen on it. In first part, I will survey techniques that were developed over the years for understanding of dynamics allowed on that continuum. Then motivated by a few of recent techniques, I will show how this strange continuum can appear as an attractor for plane homeomorphism.
This will be hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi Seminar (ICTP Leonardo Da Vinci Building), for those wishing to attend in person.
ICTP - Strada Costiera, 11
I - 34151 Trieste Italy (+39) 040 2240 111 email@example.com