This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and a final section of forms from topology, analysis and logic. The second part deals with the axiom of choice for classes - well-ordering theorem, choice and maximal principles.
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multiple choice axiom, multiple choice function, cancellative groupoid, required choice function, finitary closure operator, maximal principles, ideal disjoint, weak direct product, smallest ordinal number, primed forms, ordering theorem, finite character, partial ordering relation, proper subalgebra, algebraic lattice, pairwise disjoint sets, maximal subset, proper class, resulting statement, proper ideal Browse Sample Pages:
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multiple choice axiom, multiple choice function, cancellative groupoid, required choice function, finitary closure operator, maximal principles, ideal disjoint, weak direct product, smallest ordinal number, primed forms, ordering theorem, finite character, partial ordering relation, proper subalgebra, algebraic lattice, pairwise disjoint sets, maximal subset, proper class, resulting statement, proper ideal Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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