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SUMMARY:Around the definability of mad families - Trnquist\, A D (Kbenhavn
 s Universitet)
DTSTART:20150824T140000Z
DTEND:20150824T150000Z
UID:TALK60431@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:I will talk about my new proof that there are no analytic infi
 nite mad (maximal almost disjoint) families of subsets of $omega$\, a resu
 lt originally proved by A.D.R. Mathias in his famous "Happy Families" pape
 r. The new proof motivates a proof that there are no infinite mad families
  in Solovay's model. If time permits\, I will also talk about the differen
 ces between mad families of subsets of $omega$ and other types of mad fami
 lies\, such as eventually different families of functions from $omega$ to 
 $omega$\, and why these problems may be very different from the situation 
 presented by mad families of subsets of $omega$.\n
LOCATION:Seminar Room 1\, Newton Institute
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