Around the definability of mad families
Duration: 56 mins 25 secs
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| Description: |
Törnquist, A D (Københavns Universitet)
Monday 24 August 2015, 15:00-16:00 |
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| Created: | 2015-08-25 17:55 |
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| Collection: | Mathematical, Foundational and Computational Aspects of the Higher Infinite |
| Publisher: | Isaac Newton Institute |
| Copyright: | Törnquist, A D |
| Language: | eng (English) |
| Abstract: | I will talk about my new proof that there are no analytic infinite mad (maximal almost disjoint) families of subsets of ω, 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 ω and other types of mad families, such as eventually different families of functions from ω to ω, and why these problems may be very different from the situation presented by mad families of subsets of ω. |
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