Infinite-dimensional Jonsson algebras

יום א', 15/12/2013 - 10:10

Can you tell the present by knowing the future? That is, can there be a function f:[X]w-->X so that given a sequence <x0,x1,x2,...>, we would have xn=f(xn+1,xn+2,xn+3,....) for (almost) all n?


This type of problems was considered by Galvin, Erdos-Hajnal, Prikry, and Solovay in the 1960's and 1970's, and regained interest more recently in the study of generalized hat problems.


Tomer's talk will present this line of research.