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UID:node-3060479@mathematics.huji.ac.il
DTSTAMP:20211027T110000Z
DTSTART:20211027T110000Z
DTEND:20211027T130000Z
SUMMARY:Set Theory Seminar: Yair Hayut (HUJI)
DESCRIPTION:*Title:*\nStationary Reflection and the Successors of Singular cardinals* *(Part 2)\n**\n*Abstract:*\n**In this series of talks I'm going to present a few old and new results \nconcerning the consistency of special assertions at successors of singular \ncardinals (i.e. $\aleph_{\omega+ 1}$) - the reflection principles. The so \ncalled "reflection principle" are properties of the form:\nLet X be a subset of $\lambda$. such that X has some property. Then there is \nsome $M$ subset of $\lambda$ of small cardinality, such that X \cap M has the \nsame property.\nWe will start with a very gentle introduction to Prikry forcing, showing its \nbasic properties. Then, we will focus on stationary reflection and prove \nMagidor's theorem on the consistency of stationary reflection at \n$\aleph_{\omega+1}$, starting with supercompactcardinals. Then, we will show \nhow to get stationary reflection except one bad set, using Prikry forcing.\nAfter that, we will work towards the stronger result, getting full stationary \nreflection at $\al...
LOCATION:The link will be sent to you after registration
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