Catálogo de la biblioteca Antonio Monteiro - INMABB

Bibliografía: p. 269-270.

Preface xi --
List of Symbols xiii --
Chapter 1 INTRODUCTION [1] --
Baby Set Theory [1] --
Sets—An Informal View [7] --
Classes [10] --
Axiomatic Method [10] --
Notation [13] --
Historical Notes [14] --
Chapter 2 AXIOMS AND OPERATIONS [17] --
Axioms [17] --
Arbitrary Unions and Intersections [23] --
Algebra of Sets [27] --
Epilogue [33] --
Review Exercises [33] --
Chapter 3 RELATIONS AND FUNCTIONS [35] --
Ordered Pairs [35] --
Relations [39] --
n-Ary Relations [41] --
Functions [42] --
Infinite Cartesian Products [54] --
Equivalence Relations [55] --
Ordering Relations [62] --
Review Exercises [64] --
Chapter 4 NATURAL NUMBERS [66] --
Inductive Sets [67] --
Peano’s Postulates [70] --
Recursion on ω [73] --
Arithmetic [79] --
Ordering on ω [83] --
Review Exercises [88] --
Chapter 5 CONSTRUCTION OF THE REAL NUMBERS [90] --
Integers [90] --
Rational Numbers [101] --
Real Numbers [111] --
Summaries [121] --
Two [123] --
Chapter 6 CARDINAL NUMBERS AND THE AXIOM OF CHOICE [128] --
Equinumerosity [128] --
Finite Sets [133] --
Cardinal Arithmetic [138] --
Ordering Cardinal Numbers [145] --
Axiom of Choice [151] --
Countable Sets [159] --
Arithmetic of Infinite Cardinals [162] --
Continuum Hypothesis [165] --
Chapter 7 ORDERINGS AND ORDINALS [167] --
Partial Orderings 167 Well Orderings [172] --
Replacement Axioms [179] --
Epsilon-Images [182] --
Isomorphisms [184] --
Ordinal Numbers [187] --
Debts Paid [195] --
Rank [200] --
Chapter 8 ORDINALS AND ORDER TYPES [209] --
Transfinite Recursion Again [209] --
Alephs [212] --
Ordinal Operations [215] --
Isomorphism Types [220] --
Arithmetic of Order Types [222] --
Ordinal Arithmetic [227] --
Chapter 9 SPECIAL TOPICS [241] --
Well-Founded Relations [241] --
Natural Models [249] --
Cofinality [257] --
Appendix NOTATION, LOGIC, AND PROOFS [263] --
Selected References for Further Study [269] --
List of Axioms [271] --
Index [273] --

MR, 55 #12522