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Point Set Theory

Point Set Theory

Hardcover

Series: Chapman & Hall/CRC Pure and Applied Mathematics, Book 131

General MathematicsGeometry

ISBN10: 0824781783
ISBN13: 9780824781781
Publisher: CRC Press
Published: Oct 23 1989
Pages: 296
Weight: 1.18
Height: 0.73 Width: 6.44 Depth: 9.20
Language: English
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 areas, this 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.

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