Point Set Theory / Edition 1

by Morgan

Overview

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.

Product Details

ISBN-13:	9780824781781
Publisher:	Taylor & Francis
Publication date:	10/23/1989
Series:	Chapman & Hall/CRC Pure and Applied Mathematics , #131
Pages:	296
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Morgan,

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