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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Around the definability of mad families

## Around the definability of mad familiesAdd to your list(s) Download to your calendar using vCal - Trnquist, A D (Kbenhavns Universitet)
- Monday 24 August 2015, 15:00-16:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact webseminars. Mathematical, Foundational and Computational Aspects of the Higher Infinite I will talk about my new proof that there are no analytic infinite mad (maximal almost disjoint) families of subsets of $omega$, a result originally proved by A.D.R. Mathias in his famous “Happy Families” paper. 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 differences between mad families of subsets of $omega$ and other types of mad families, 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 $omega$. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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