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Tuesday, 21 October 2025 - 10:00 to 11:30<br>
Place: IM, konírna<br>
<br>
Speaker: Adam Bartoš, IM CAS<br>
Title: Amalgamation of partial dc-automorphisms<br>
<br>
Abstract</div>
<br>
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.<br>
<br>
<div>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.</div>
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For more information see the seminar web page at <br>
<a href="https://www.math.cas.cz/index.php/events/seminar/6"
target="_blank"
data-saferedirecturl="https://www.google.com/url?q=https://www.math.cas.cz/index.php/events/seminar/6&source=gmail&ust=1760978099811000&usg=AOvVaw0eOHXJ-XBERuYsNDZyJk7e">https://www.math.cas.cz/index.<wbr>php/events/seminar/6</a></div>
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