Cardinal Invariants on Boolean Algebras - Couverture rigide
Livre 133 sur 169: Progress in Mathematics
Synopsis
Along with almost 200 fascinating open problems, this updated edition covers most of what we know about Boolean cardinal invariants, and includes detailed studies of 21 cardinal number valued functions such as cellularity, defined for any Boolean algebra.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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CARDINAL INVARIANTS ON BOOLEAN ALGEBRAS 2ED (HB 2014)
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Monk:Cardinal Invariants on Boolean Alg (eng)
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Cardinal Invariants on Boolean Algebras: Second Revised Edition (Progress in Mathematics, 142, Band 142)
Edité par
Birkhäuser, 2014
ISBN 10 : 3034807295
ISBN 13 : 9783034807296
Ancien ou d'occasion
Couverture rigide
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hardcover. Etat : Gut. 580 Seiten; 9783034807296.3 Gewicht in Gramm: 500. N° de réf. du vendeur 1087566
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Cardinal Invariants on Boolean Algebras: Second Revised Edition (Progress in Mathematics, 142)
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Cardinal Invariants on Boolean Algebras
Edité par
Springer Basel Feb 2014, 2014
ISBN 10 : 3034807295
ISBN 13 : 9783034807296
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 584 pp. Englisch. N° de réf. du vendeur 9783034807296
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Cardinal Invariants on Boolean Algebras
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers most of what is known on cardinal invariants in Boolean algebras Includes a list of 185 interesting open problemsDetailed study of 21 cardinal number valued functions defined for any Boolean algebraThis book is concerned w. N° de réf. du vendeur 4318337
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Cardinal Invariants on Boolean Algebras
Edité par
Birkhäuser, Birkhäuser Feb 2014, 2014
ISBN 10 : 3034807295
ISBN 13 : 9783034807296
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 584 pp. Englisch. N° de réf. du vendeur 9783034807296
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Cardinal Invariants on Boolean Algebras : Second Revised Edition
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783034807296
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