By James Cummings,Ernest Schimmerling,Professor James Cummings,Professor Ernest Schimmerling

This quantity takes its identify from a well-liked sequence of in depth arithmetic workshops hosted at associations in Appalachia and surrounding components. At those conferences, across the world trendy set theorists provide one-day lectures that concentrate on vital new instructions, tools, instruments and effects in order that non-experts can start to grasp those and include them into their very own examine. each one bankruptcy during this quantity used to be written by way of the workshop leaders in collaboration with choose scholar members, and jointly they symbolize lots of the conferences from the interval 2006–2012. issues coated comprise forcing and big cardinals, descriptive set concept, and purposes of set theoretic principles in team idea and research, making this quantity crucial studying for quite a lot of researchers and graduate students.

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