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Partition Problems in Topology
This book presents results on the case of the Ramsey problem for the uncountable: When does a partition of a square of an uncountable set have an uncountable homogeneous set? This problem most frequently appears in areas of general topology, measure theory, and functional analysis. Building on his solution of one of the two most basic partition problems in general topology, the ``S-space problem,'' the author has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set theory at the level of a first year graduate or advanced undergraduate student. The book may also be of interest to the exclusively set-theoretic reader, for it provides an excellent introduction to the subject of forcing axioms of set theory, such as Martin's axiom and the Proper forcing axiom.
CMUC
None
General Topology and Applications
Proceedings of the Northeast Conference on the subject at Wesleyan University, Connecticut, in June 1988. The two dozen papers, by mathematicians from the US, Canada, and the Netherlands, report on recent advances in topology for research mathematicians and graduate students. They focus on the theor
Cardinal Invariants on Boolean Algebras
This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.
Topology and Its Applications
The Proceedings of an international topology conference - this book covrs various aspects of general algebraic, and low-dimensional topology.
