<!DOCTYPE html>
<html>
<head>
<title>Set Theory and Analysis</title>
</head>
<body>
<p>
Tuesday, 7 April 2026 - 10:00 to 11:30 <br />
Place: IM, konírna
</p>
<p>
Speaker: Ondřej Kurka, Institute of Mathematics, Czech Academy of Sciences<br />
Title: The rational Gurarii space and its linear isometry group
</p>
<p class="ql-ed">
Abstract <br />
<p>We show that the classes of partial isometries in finite-dimensional polyhedral spaces and in finite-dimensional rational polyhedral spaces do not have the weak amalgamation property. This implies that the linear isometry group of the rational Gurarii space does not have a comeager conjugacy class. Our methods demonstrate also that the classes of finite-dimensional polyhedral spaces and of finite-dimensional rational polyhedral spaces fail to have the Hrushovski property.</p><p>The talk will be based on a joint work with Maciej Malicki. It will be an extended version of a talk from the Winter School in Vlachovice.</p>
</p>
<p>
For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/6
</p>
<p>
Set Theory and Analysis mailing list <br />
settfa@math.cas.cz <br />
https://list.math.cas.cz/listinfo/settfa@math.cas.cz
</p>
</body>
</html>