CLASSICAL SET THEORY: PROBLEMS AND THEOREMS

By JAMES ANDERSON

CONTENTS PART I PROBLEMS OPERATIONS ON SETS COUNTABILITY EQUIVALENCE CONTINUUM SETS OF REALS AND REAL FUNCTIONS ORDERED SETS ORDER TYPES ORDINALS ORDINAL ARITHMETIC CARDINALS PARTIALLY ORDERED SETS TRANS?NITE ENUMERATION EUCLIDEAN SPACES ZORN’S LEMMA HAMEL BASES THE CONTINUUM HYPOTHESIS ULTRA?LTERS ON ? FAMILIES OF SETS THE BANACH–TARSKI PARADOX STATIONARY SETS IN ?1 STATIONARY SETS IN LARGER CARDINALS CANONICAL FUNCTIONS IN?NITE GRAPHS PARTITION RELATIONS ?-SYSTEMS SET MAPPINGS TREES THE MEASURE PROBLEM STATIONARY SETS IN [?]<? THE AXIOM OF CHOICE WELL-FOUNDED SETS AND THE AXIOM OF FOUNDATION PART II SOLUTIONS