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SUMMARY:Bruce Blackadar (University of Nevada\, Reno)
DTSTART:20230512T140000Z
DTEND:20230512T150000Z
DTSTAMP:20260404T131140Z
UID:BanachWebinars/76
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BanachWebina
 rs/76/">Hilbert Spaces Without Countable AC</a>\nby Bruce Blackadar (Unive
 rsity of Nevada\, Reno) as part of Banach spaces webinars\n\n\nAbstract\nT
 his article examines Hilbert spaces constructed from sets whose existence 
 is incompatible with the Countable Axiom of Choice (CC). Our point of view
  is twofold: (1) We examine what can and cannot be said about Hilbert spac
 es and operators on them in ZF set theory without any assumptions of Choic
 e axioms\, even the CC. (2) We view Hilbert spaces as ``quantized'' sets a
 nd obtain some set-theoretic results from associated Hilbert spaces.\n
LOCATION:https://researchseminars.org/talk/BanachWebinars/76/
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