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The exact consistency strength of the generic absoluteness for the universally Baire sets
Article describes how a set of reals is universally Baire if all of its continuous preimages in topological spaces have the Baire property. The authors show that over some mild large cardinal theory, sealing is equiconsistent with LSA-over-uB.
Date:
January 18, 2023
Creator:
Sargsyan, Grigor & Trang, Nam
System:
The UNT Digital Library
Dense Locally Finite Subgroups of Automorphism Groups of Ultraextensive Spaces
Article verifying a conjecture of Vershik by showing that Hall’s universal countable locally finite group can be embedded as a dense subgroup in the isometry group of the Urysohn space and in the automorphism group of the random graph. It shows the same for all automorphism groups of known infinite ultraextensive spaces.
Date:
August 18, 2021
Creator:
Etedadialiabadi, Mahmood; Gao, Su; Le Maître, François & Melleray, Julien
System:
The UNT Digital Library