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Introduction to Modern Set Theory

Publisher: 
John Wiley
Number of Pages: 
176
Price: 
145.00
ISBN: 
0471635197
Date Received: 
Monday, July 17, 2006
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Judith Roitman
Publication Date: 
1990
Format: 
Hardcover
Category: 
Monograph
Tags: 
BLL
07/8/2009
BLL Rating: 

Some Mathematical Preliminaries.

Partially Ordered Sets.

Some Facts About Partially Ordered Sets.

Equivalence Relations.

Well-Ordered Sets.

Mathematical Induction.

Models.

THE AXIOMS, PART I. The Language, Some Finite Operations, and Extensionality.

Pairs.

Cartesian Products.

Union, Intersection, and Separation.

Filters and Ideas.

The Natural Numbers.

Two Nonconstructive Axioms: Infinity and Power Set.

A Digression on the Power Set Axiom.

Replacement.

REGULARITY AND CHOICE.

Transitive Sets.

A First Look at Ordinals.

Regularity.

A World About Classes.

The Axiom of Choice.

Four Forms of the Axiom of Choice.

Models of Regularity and Choice.

THE FOUNDATION OF MATHEMATICS.

INFINITE NUMBERS.

Cardinality.

Ordinal Arithmetic.

Cardinal Arithmetic.

Cofinality.

Infinite Operations and More Exponentiation.

Counting.

TWO MODELS OF SET THEORY.

A Set Model for ZFC.

The Constructible Universe.

INFINITE COMBINATORICS.

Partition Calculus.

Trees.

Measurable Cardinals.

CH.

Martin's Axiom.

Stationary Sets.

Bibliography.

Index.

Publish Book: 
Modify Date: 
Thursday, February 16, 2012

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