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SUMMARY:Andrew Brooke-Taylor (University of Leeds)
DTSTART:20201125T150000Z
DTEND:20201125T163000Z
DTSTAMP:20260423T022034Z
UID:BCNSETS/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BCNSETS/5/">
 Categorifying Borel reducibility</a>\nby Andrew Brooke-Taylor (University 
 of Leeds) as part of Barcelona Set Theory Seminar\n\n\nAbstract\nBorel red
 ucibility is a framework that has been very successful in showing that cla
 ssification programmes in different areas of mathematics are not possible 
 to complete.  However\, a feature of many such classification programmes t
 hat is not accounted for in the standard Borel reducibility framework is f
 unctoriality - a good classification function is expected to respect all m
 aps between objects\, not just the isomorphisms.  I will present an extens
 ion of the Borel reducibility framework that takes functoriality into acco
 unt\, and give some initial results showing that this is a meaningful refi
 nement of the standard framework.\n
LOCATION:https://researchseminars.org/talk/BCNSETS/5/
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