Cardinal Functions On Boolean Algebras
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Cardinal Functions On Boolean Algebras
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Author : MONK
language : en
Publisher: Birkhäuser
Release Date : 2013-12-14
Cardinal Functions On Boolean Algebras written by MONK and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-14 with Social Science categories.
Cardinal Invariants On Boolean Algebras
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Author : J. Donald Monk
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-25
Cardinal Invariants On Boolean Algebras written by J. Donald Monk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-25 with Mathematics categories.
This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.
Cardinal Functions On Boolean Algebras
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Author : MONK
language : en
Publisher: Birkhäuser
Release Date : 1990-08-01
Cardinal Functions On Boolean Algebras written by MONK and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-08-01 with Science categories.
Cardinal Invariants On Boolean Algebras
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Author : J. Donald Monk
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-02-11
Cardinal Invariants On Boolean Algebras written by J. Donald Monk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-11 with Mathematics categories.
This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. Assuming familiarity with only the basics of Boolean algebras and set theory, through simple infinite combinatorics and forcing, the book reviews current knowledge about these functions, giving complete proofs for most facts. A special feature of the book is the attention given to open problems, of which 185 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) and Cardinal Invariants on Boolean Algebras (1996) by the same author, the present work is much larger than either of these. It contains solutions to many of the open problems of the earlier volumes. Among the new topics are continuum cardinals on Boolean algebras, with a lengthy treatment of the reaping number. Diagrams at the end of the book summarize the relationships between the functions for many important classes of Boolean algebras, including interval algebras, tree algebras and superatomic algebras.
Cardinal Invariants On Boolean Algebras
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Author : James Donald Monk
language : en
Publisher: Springer Science & Business Media
Release Date : 1996
Cardinal Invariants On Boolean Algebras written by James Donald Monk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. Assuming familiarity with only the basics of Boolean algebras and set theory, through to simple infinite combinatorics and forcing, the book reviews current knowledge about these functions, giving complete proofs for most facts. A special feature of the book is the attention given to open problems, of which 97 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) by the same author, the present work is nearly twice the size of the original work. It contains solutions to many of the open problems which are discussed in greater detail than before. Among the new topics considered are ultraproducts and FedorchukA-s theorem, and there is a more complete treatment of the cellularity of free products. Diagrams at the end of the book summarize the relationships between the functions for many important classes of Boolean algebras, including tree algebras and superatomic algebras. Review: "This book is an indispensable tool for anyone working in Boolean algebra, and is also recommended for set-theoretic topologists." - Zentralblatt MATH
Nearly Projective Boolean Algebras
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Author : Lutz Heindorf
language : en
Publisher: Springer
Release Date : 2006-11-14
Nearly Projective Boolean Algebras written by Lutz Heindorf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras. Although algebra adds its own methods and questions, many of the results presented were first proved by topologists in the more general setting of (not necessarily zero-dimensional) compact spaces. An appendix demonstrates the application of advanced set-theoretic methods to the field. The intended readers are Boolean and universal algebraists. The book will also be useful for general topologists wanting to learn about kappa-metrizable spaces and related classes. The text is practically self-contained but assumes experience with the basic concepts and techniques of Boolean algebras.
Handbook Of Boolean Algebras
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Author : James Donald Monk
language : en
Publisher:
Release Date : 1989
Handbook Of Boolean Algebras written by James Donald Monk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Algebra, Boolean categories.
Cardinal Functions On Boolean Algebras
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Author : Monk
language : en
Publisher:
Release Date : 2014-09-01
Cardinal Functions On Boolean Algebras written by Monk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Countable Boolean Algebras And Decidability
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Author : Sergey Goncharov
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-31
Countable Boolean Algebras And Decidability written by Sergey Goncharov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-31 with Mathematics categories.
This book describes the latest Russian research covering the structure and algorithmic properties of Boolean algebras from the algebraic and model-theoretic points of view. A significantly revised version of the author's Countable Boolean Algebras (Nauka, Novosibirsk, 1989), the text presents new results as well as a selection of open questions on Boolean algebras. Other current features include discussions of the Kottonen algebras in enrichments by ideals and automorphisms, and the properties of the automorphism groups.
Measure Theory
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Author : D. H. Fremlin
language : en
Publisher: Torres Fremlin
Release Date : 2000
Measure Theory written by D. H. Fremlin and has been published by Torres Fremlin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Fourier analysis categories.