[Settfa] [Set Theory] Tuesday 21 Oct, Adam Bartoš

[Adam Bartoš]

Tuesday, 21 October 2025 - 10:00 to 11:30
Place: IM, konírna

Speaker: Adam Bartoš, IM CAS
Title: Amalgamation of partial dc-automorphisms

Abstract

In a joint work in progress with Wiesław Kubiś, Aleksandra Kwiatkowska, 
and Maciej Malicki we study ultrametric spaces as two-sorted structures 
where the distance set is a linear order that can vary from space to 
space. The family of all finite two-sorted ultrametric structures with 
distance-carrying embeddings is a Fraïssé category.

In the talk I will sketch some ideas of the proof of the cofinal 
amalgamation property of finite partial dc-automorphisms. We consider a 
somewhat general strategy of splitting the problem to two parts: showing 
the amalgamation property of total automorphisms and showing that there 
are cofinally many partial automorphisms with unique totalization.

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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