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Choice functions via topology

 Ron Aharoni  (Technion, Israel) 

Location:  Hill 705
Date & time: Friday, 15 February 2019 at 4:00PM - 5:00PM

Abstract: A rainbow set for a family of sets is the range of a partial choice function (i.e., choosing one element from each member of a subfamily).  Problems on the existence of choice functions whose range satisfies some desirable property lend themselves nicely to topological methods. A major part of the talk is about results of the form "(quantifiably) many sets satisfying some property have a rainbow set satisfying this property". 

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