Point Set Theory

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A01=Morgan
Adherent Ideal
Author_Morgan
Baire Property
Bernstein Set
Category=PBM
Dyadic Schema
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Lebesgue Measurable Function
Lebesgue Measurable Sets
Lebesgue Measure
Meager Set
Nonempty Open Set
Nonzero Rational Number
Open Rectangle
Ordinal Numbers
Perfect Set
Positive Lebesgue Measure
Quotient Algebra
Rare Set
Rational Linear Combinations
Rationally Independent
Smallest Natural Number
Transfinite Induction
Transfinite Sequence
Uncountable Family
Uncountable Set
Uncountable Subset
Vitali Set

Product details

  • ISBN 9780367450946
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 02 Dec 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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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.
Morgan,

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