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CATEGORIES:Set Theory Seminar
SUMMARY:Strong logics in set theory and search for singula
r compactness - Mirna Džamonja (Norwich &\; Par
is)
DTSTART;TZID=Europe/London:20190216T151500
DTEND;TZID=Europe/London:20190216T161500
UID:TALK119479AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/119479
DESCRIPTION:In the world of infinite cardinals\, combinatorial
properties of singular cardinals are somewhat spe
cial. This is especially visible by the fact that
they often exhibit a compactness behaviour\, such
as in Shelah's singular compactness theorem or pcf
theorem. The cardinal ℵ0 is also very special\, o
ften because of the compactness. An important exam
ple is the compactness of the first order logic. T
herefore it is natural to ask if there is a compac
t logic associated to singular cardinals\, a quest
ion that we explore. This talk reports on results
in progress obtained jointly with Jouko Väänänen.
LOCATION:Centre for Mathematical Sciences\, MR13
CONTACT:Benedikt Loewe
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