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Tuesday, 27 May 2025 - 10:00 to 11:30 <br />
Place: IM, konírna
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Speaker: Adam Bartoš, Institute of Mathematics, Czech Academy of Sciences<br />
Title: Fraïssé limit of two-sorted ultrametric spaces
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Abstract <br />
<p>I will present some ideas and results from a joint work in progress with Wiesław Kubiś, Alexandra Kwiatkowska, and Maciej Malicki. We consider ultrametric spaces as two-sorted structures where the linearly ordered set of distances varies from space to space and where embeddings are allowed to move the distances around. This way we can view the classical rational Urysohn ultrametric space as the Fraïssé limit of all finite ultrametric spaces, i.e. without fixing a particular countable set of distances. We study its properties such as the existence of a generic distance-carrying automorphism.</p>
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For more information see the seminar web page at <br />
https://www.math.cas.cz/index.php/events/seminar/6
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Set Theory and Analysis mailing list <br />
settfa@math.cas.cz <br />
https://list.math.cas.cz/listinfo/settfa@math.cas.cz
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