
Point Set Theory
Morgan(Author)
CRC Press
1st Edition
Published on 2. December 2019
Book
Paperback/Softback
296 pages
978-0-367-45094-6 (ISBN)
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.
More details
Series
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
Professional Practice & Development
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 16 mm
Weight
456 gr
ISBN-13
978-0-367-45094-6 (9780367450946)
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Person
Morgan,
Content
1. Category Bases 2. Point-Meager and Baire Bases 3. Separable Bases 4. Cluster Points and Topologies 5. Perfect Bases 6. Translation Bases