[Settfa] [Set Theory] Tuesday 9 Dec, Julia Ścisłowska

[Adam Bartoš]

Tuesday, 9 December 2025 - 10:00 to 11:30
Place: IM, Konírna, ground floor, front building

Speaker: Julia Ścisłowska, University of Warsaw
Title: Extraordinary properties of Suslinean chainable continua

Abstract

During my talk I will introduce ultrafilter orders on chainable continua 
and I will present known results in this topic. In particular, I will 
mention some ideas how we can express the “level of complexity” of a 
given chainable continuum in the language of ultrafilter orders. It will 
turn out that from a particular viewpoint Suslinean chainable continua 
are relatively simple spaces. To illustrate this claim, I will show some 
ideas related to a new result stating that any Suslinean chainable 
continuum equipped with any ultrafilter order has the order type of an 
interval. Another new result, which I will discuss, states that for 
Suslinean chainable continua, any ultrafilter order is both of type F_σ 
and G_δ.

This is a joint work with Witold Marciszewski and Benjamin Vejnar, 
preprint is available at: https://arxiv.org/abs/2510.14577.


For more information see the seminar web page at
https://www.math.cas.cz/index.php/events/seminar/6 
<https://www.math.cas.cz/index.php/events/seminar/6>

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