A01=Morgan
abstract category base framework
Adherent Ideal
advanced measure theory
Author_Morgan
baire
Baire Property
Bernstein Set
Category=PBMW
Dyadic Schema
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
graduate mathematics text
John C. Morgan
lebesgue
Lebesgue Measurable Function
Lebesgue Measurable Sets
Lebesgue Measure
mathematical logic
meager
Meager Set
measure
Nonempty Open Set
Nonzero Rational Number
Open Rectangle
ordinal
Ordinal Numbers
perfect
Perfect Set
positive
Positive Lebesgue Measure
property
Quotient Algebra
Rare Set
Rational Linear Combinations
Rationally Independent
real function analysis
sequence
set classification theory
Smallest Natural Number
topological abstraction
transfinite
Transfinite Induction
Transfinite Sequence
Uncountable Family
Uncountable Set
Uncountable Subset
Vitali Set
Product details
- ISBN 9780824781781
- Weight: 589g
- Dimensions: 156 x 234mm
- Publication Date: 23 Oct 1989
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
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\,
