BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Dima Sinapova (U Illinois Chicago)
DTSTART:20200827T180000Z
DTEND:20200827T190000Z
DTSTAMP:20260423T035743Z
UID:OLS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/22/">Ite
 ration\, reflection\, and Prikry forcing</a>\nby Dima Sinapova (U Illinois
  Chicago) as part of Online logic seminar\n\n\nAbstract\nThere is an inher
 ent tension between stationary reflection and the failure of the singular 
 cardinal hypothesis (SCH). The former is a compactness type principle that
  follows from large cardinals. Compactness is the phenomenon where if a ce
 rtain property holds for every smaller substructure of an object\, then it
  holds for the entire object. In contrast\, failure of SCH is an instance 
 of incompactness. It is usually obtained using Prikry forcing.\n\nWe descr
 ibe a Prikry style iteration\, and use it to force stationary reflection i
 n the presence of not SCH. Then we discuss the situation at smaller cardin
 als. This is joint work with Alejandro Poveda and Assaf Rinot.\n
LOCATION:https://researchseminars.org/talk/OLS/22/
END:VEVENT
END:VCALENDAR