Topics in Set Theory: Lebesgue Measurability, Large Cardinals, Forcing Axioms, Rho-functions

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This volume is based on a series of lectures given by Stevo Todorcevic at the University of Colorado in 1987. The first two chapters are about the connection between large cardinals and Lebesque measure. The third is on forcing axioms such as Martin’s Axiom or the Proper Forcing Axiom. The fourth chapter looks at the method of minimal walks and rho-functions and their applications. The book is addressed to researchers and graduate students interested in set theory, set-theoretic topology and measure theory.