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This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained - this is a good reference book on modern questions of general topology and can serve as an introduction to the applications of set theory and infinite combinatorics.
Cardinal functions in topology Ramification arguments and partition calculus Souslin trees and Martin's axiom Martin's axiom and normality Hereditary separability and hereditary Lindelofness Godel's constructible universe Compactifications and $\beta N$ Metrization and Moore spaces Normality of products Box products Problems Bibliography.