書誌事項

Point set theory

John C. Morgan II

(Monographs and textbooks in pure and applied mathematics, 131)

M. Dekker, c1990

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注記

Includes bibliographical references

Bibliography: p. 251-275

Includes index

内容説明・目次

内容説明

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.

目次

1. Category Bases 2. Point-Meager and Baire Bases 3. Separable Bases 4. Cluster Points and Topologies 5. Perfect Bases 6. Translation Bases

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詳細情報

  • NII書誌ID(NCID)
    BA07656412
  • ISBN
    • 0824781783
  • LCCN
    89023575
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    viii, 279 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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