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SUMMARY:Inaccessible cardinals and accessible categories - Rosick\, J (Mas
 aryk University)
DTSTART:20151215T113000Z
DTEND:20151215T123000Z
UID:TALK62906@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:There is a growing list of important questions in category the
 ory\, abstract homotopy theory or model theory where answers depend on lar
 ge cardinals. These questions concern various properties of accessible cat
 egories which can be imagined as categories of models of infinitary first 
 order theories. The answers depend on Vopenka's principle or its consequen
 ces\, mostly on the existence of a proper class of suitable large cardinal
 s. We will give examples of such questions\, explain their characteristic 
 features and mention open problems.\n
LOCATION:Seminar Room 1\, Newton Institute
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