Point Set Theory

Investigations by Baire Lebesgue Hausdorff Marczewski and othes have culminated invarious schemes for classifying point sets. This important reference/text bringstogether in a single theoretical framework the properties common to these classifications. Providing a clear thorough overview and analysis of the field Point Set Theoryutilizes the axiomatically determined notion of a category base for extending generaltopological theorems to a higher level of abstraction. axiomatically unifies analogiesbetween Baire category and Lebesgue measure. enhances understanding of thematerial with numerous examples and discussions of abstract concepts. and more. Imparting a solid foundation for the modem theory of real functions and associated areasthis authoritative resource is a vital reference for set theorists logicians analysts andresearch mathematicians involved in topology measure theory or real analysis. It is anideal text for graduate mathematics students in the above disciplines who havecompleted undergraduate courses in set theory and real analysis. Language: English