Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and others

Have culminated in various schemes for classifying point sets. This important reference/text brings together in a single theoretical framework the properties common to these classifications.

Providing a clear, thorough overview and analysis of the field, Point Set Theory utilizes the axiomatically determined notion of a category base for extending general topological theorems to a higher level of abstraction ... axiomatically unifies analogies between Baire category and Lebesgue measure ... enhances understanding of the material with numerous examples and discussions of abstract concepts ... and more.

Imparting a solid foundation for the modern theory of real functions and associated areas, this authoritative resource is a vital reference for set theorists, logicians, analysts, and research mathematicians involved in topology, measure theory, or real analysis.

It is an ideal text for graduate mathematics students in the above disciplines who have completed undergraduate courses in set theory and real analysis.