This Handbook treats those parts of the theory of Boolean algebras of most interest to pure mathematicians: the set-theoretical abstract theory and applications and relationships to measure theory, topology, and logic. It is divided into two parts (published in three volumes). Part I (volume 1) is a comprehensive, self-contained introduction to the set-theoretical aspects of the theory of Boolean Algebras. It includes, in addition to a systematic introduction of basic algebra and topological ideas, recent developments such as the Balcar-Franek and Shelah-Shapirovskii results on free subalgebras. Part II (volumes 2 and 3) contains articles on special topics describing - mostly with full proofs - the most recent results in special areas such as automorphism groups, Ketonen's theorem, recursive Boolean algebras, and measure algebras.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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disjoint refinement, rigid algebras, disjoint stationary sets, zerodimensional spaces, rigid completion, atomless subalgebra, good equivalence relation, ordinal definable sets, homogeneous algebras, independent subcollection, onto endomorphism, uniform ultrafilter, cofinal branch, satisfies ccc, full subalgebras, stationary subset, countable cofinality, pairwise disjoint elements, complete subalgebra, homogeneous factors, regular subalgebra, weakly homogeneous, interval algebra, countable chain condition, regular cardinal Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elsevier Science Publishers, Hopfian Boolean, Boolean F-space, Charles University, University of Colorado Contents, Academic Press, Lecture Notes, Let Aut, Donald Monk University of Colorado Keywords, János Bolyai, Lattice Theory, Pure Appl, Symbolic Logic New!
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disjoint refinement, rigid algebras, disjoint stationary sets, zerodimensional spaces, rigid completion, atomless subalgebra, good equivalence relation, ordinal definable sets, homogeneous algebras, independent subcollection, onto endomorphism, uniform ultrafilter, cofinal branch, satisfies ccc, full subalgebras, stationary subset, countable cofinality, pairwise disjoint elements, complete subalgebra, homogeneous factors, regular subalgebra, weakly homogeneous, interval algebra, countable chain condition, regular cardinal Key Phrases - Capitalized Phrases (CAPs): (learn more)
Elsevier Science Publishers, Hopfian Boolean, Boolean F-space, Charles University, University of Colorado Contents, Academic Press, Lecture Notes, Let Aut, Donald Monk University of Colorado Keywords, János Bolyai, Lattice Theory, Pure Appl, Symbolic Logic New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 13
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31
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- Handbook of Boolean Algebras, Volume Volume 1 by Author Unknown on 8 pages
- Set Theory by Thomas Jech on 4 pages
- Set Theory An Introduction To Independence Proofs (Studies in Logic and the Foundations of Mathematics) by Kenneth Kunen on page 355, and page 361
- Set Theory. Third Edition by Felix Hausdorff on page 374, and page 338
- Classification Theory, Second Edition: and the Number of Non-Isomorphic Models (Studies in Logic and the Foundations of Mathematics) by S. Shelah on page 174, and page 362
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- Recursive Model Theory, Volume Volume 1 (Studies in Logic and the Foundations of Mathematics) by Author Unknown on 9 pages
- Recursive Algebra, Analysis and Combinatorics, Volume Volume 2 (Studies in Logic and the Foundations of Mathematics) by Author Unknown on 4 pages
- Boolean Algebras in Analysis (Mathematics and Its Applications (closed)) by D.A. Vladimirov in Front Matter, and Back Matter
- Ones and Zeros: Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets (IEEE Press Understanding Science & Technology Series) by John R. Gregg in Back Matter
- A Decade of Concurrency: Reflections and Perspectives. REX School/Symposium Noordwijkerhout, The Netherlands, June 1 - 4, 1993. Proceedings (Lecture Notes in Computer Science) by J.W.de Bakker on page 79
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