By Joan Bagaria, Stevo Todorcevic
This quantity has its origins within the examine Programme on Set concept and its purposes that happened on the Centre de Recerca Matemática (CRM) Barcelona from September 2003 to July 2004. It involves components. the 1st includes survey papers on a number of the mainstream components of set theory, and the second one comprises unique examine papers.
The survey papers hide topics as Omega-logic, functions of set conception to lattice idea and Boolean algebras, real-valued measurable cardinals, complexity of units and relatives in continuum idea, susceptible subsystems of axiomatic set conception, definable types of huge cardinals, and choice concept for open covers of topological areas. As for the examine papers, they vary from themes equivalent to the variety of near-coherence sessions of ultrafilters, the consistency power of bounded forcing axioms, some functions of morasses, subgroups of Abelian Polish groups, the consistency power of mutual stationarity, and new axioms of set theory.
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