Cohen-like poset for adding automorphisms of Fraisse limits

Speaker(s)

Ziemowit Kostana

Affiliation

University of Warsaw

Date

March 11, 2020, 4:15 p.m.

Room

room 5050

Seminar

Topology and Set Theory Seminar

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There exists a natural forcing notion which turns the set of integers into a Fraisse limit of a given Fraisse class. This long-known phenomenon provided a rough intuition that Fraisse limits, as "generic structures", have some connections with forcing. I investigate a version of this forcing, which together with "generic" structure, provides us a "generic" automorphism of this structure. Despite the forcing-theoretic language, I am not going to use anything beyond Rasiowa-Sikorski Lemma.

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