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After a one-week hiatus, we are resuming our reading seminar of the Hrushovski paper. This week, we are taking a break from the paper proper, and are instead focusing on the subject of stable theories (or more precisely, -stable theories), which form...
UCLA Mathematics has launched a new scholarship to be granted to an entering freshman who has an exceptional background and promise in mathematics. The UCLA Math Undergraduate Merit Scholarship provides for full tuition, and a room and board...
In the course of the ongoing logic reading seminar at UCLA, I learned about the property of countable saturation. A model of a language is countably saturated if, every countable sequence of formulae in (involving countably many constants in )...
Let be a finite subset of a non-commutative group . As mentioned previously on this blog (as well as in the current logic reading seminar), there is some interest in classifying those which obey small doubling conditions such as or . A full...
This week, Henry Towsner concluded his portion of reading seminar of the Hrushovski paper, by discussing (a weaker, simplified version of) main model-theoretic theorem (Theorem 3.4 of Hrushovski), and described how this theorem implied the...
