Point set theory
Author(s)
Bibliographic Information
Point set theory
（Monographs and textbooks in pure and applied mathematics, 131）
M. Dekker, c1990
Available at / 49 libraries
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Kobe University General Library / Library for Intercultural Studies
410-8-P5//131S061000106141*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:516.3/M8222070142753
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Note
Includes bibliographical references
Bibliography: p. 251-275
Includes index
Description and Table of Contents
Description
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.
Table of Contents
1. Category Bases 2. Point-Meager and Baire Bases 3. Separable Bases 4. Cluster Points and Topologies 5. Perfect Bases 6. Translation Bases
by "Nielsen BookData"