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Author : MONK
Publisher : Birkhäuser
ISBN 13 : 3034863810
Total Pages : 159 pages
Book Rating : 4.0/5 (348 download)
Download or read book Cardinal Functions on Boolean Algebras written by MONK and published by Birkhäuser. This book was released on 2013-12-14 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Donald Monk
Publisher : Birkhauser
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (43 download)
Download or read book Cardinal Functions on Boolean Algebras written by James Donald Monk and published by Birkhauser. This book was released on 1990 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Donald Monk
Publisher : Springer Science & Business Media
ISBN 13 : 3034603347
Total Pages : 308 pages
Book Rating : 4.0/5 (346 download)
Download or read book Cardinal Invariants on Boolean Algebras written by J. Donald Monk and published by Springer Science & Business Media. This book was released on 2010-03-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. Donald Monk
Publisher : Springer Science & Business Media
ISBN 13 : 3034807309
Total Pages : 569 pages
Book Rating : 4.0/5 (348 download)
Download or read book Cardinal Invariants on Boolean Algebras written by J. Donald Monk and published by Springer Science & Business Media. This book was released on 2014-02-11 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Douglas C. Peterson
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (347 download)
Download or read book Cardinal Functions on Ultraproducts, and the Reaping Number for Boolean Algebras written by Douglas C. Peterson and published by . This book was released on 1992 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Donald Monk
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (637 download)
Download or read book Cardinal Functions on Boolean Algebras written by J. Donald Monk and published by . This book was released on 1987 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sabine Koppelberg
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.3/5 (91 download)
Download or read book Handbook of Boolean Algebras written by Sabine Koppelberg and published by . This book was released on 1989 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James Donald Monk
Publisher : Birkhauser
ISBN 13 : 9780817654023
Total Pages : 298 pages
Book Rating : 4.6/5 (54 download)
Download or read book Cardinal Invariants on Boolean Algebras written by James Donald Monk and published by Birkhauser. This book was released on 1996 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roman Sikorski
Publisher : Springer Science & Business Media
ISBN 13 : 3642858201
Total Pages : 248 pages
Book Rating : 4.6/5 (428 download)
Download or read book Boolean Algebras written by Roman Sikorski and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the develop ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [1]. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs.
Author : Sergiu Rudeanu
Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)
Download or read book Boolean Functions and Equations written by Sergiu Rudeanu and published by . This book was released on 1974 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. H. Fremlin
Publisher : Torres Fremlin
ISBN 13 : 0953812952
Total Pages : 292 pages
Book Rating : 4.9/5 (538 download)
Download or read book Measure Theory written by D. H. Fremlin and published by Torres Fremlin. This book was released on 2000 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul R. Halmos
Publisher : Courier Dover Publications
ISBN 13 : 0486834573
Total Pages : 163 pages
Book Rating : 4.4/5 (868 download)
Download or read book Lectures on Boolean Algebras written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2018-09-12 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This presentation on the basics of Boolean algebra has ranked among the fundamental books on this important subject in mathematics and computing science since its initial publication in 1963. Concise and informal as well as systematic, the text draws upon lectures delivered by Professor Halmos at the University of Chicago to cover many topics in brief individual chapters. The approach is suitable for advanced undergraduates and graduate students in mathematics. Starting with Boolean rings and algebras, the treatment examines fields of sets, regular open sets, elementary relations, infinite operations, subalgebras, homomorphisms, free algebras, ideals and filters, and the homomorphism theorem. Additional topics include measure algebras, Boolean spaces, the representation theorem, duality for ideals and for homomorphisms, Boolean measure spaces, isomorphisms of factors, projective and injective algebras, and many other subjects. Several chapters conclude with stimulating exercises; the solutions are not included.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1995-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lutz Heindorf
Publisher : Springer
ISBN 13 : 3540491015
Total Pages : 210 pages
Book Rating : 4.5/5 (44 download)
Download or read book Nearly Projective Boolean Algebras written by Lutz Heindorf and published by Springer. This book was released on 2006-11-14 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Sergey Goncharov
Publisher : Springer Science & Business Media
ISBN 13 : 9780306110610
Total Pages : 344 pages
Book Rating : 4.1/5 (16 download)
Download or read book Countable Boolean Algebras and Decidability written by Sergey Goncharov and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : M. Pouzet
Publisher : Elsevier
ISBN 13 : 0080872107
Total Pages : 599 pages
Book Rating : 4.0/5 (88 download)
Download or read book Orders: Description and Roles written by M. Pouzet and published by Elsevier. This book was released on 1984-01-01 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orders: Description and Roles
Author : Roger Alan Simons
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.:/5 (34 download)
Download or read book The Boolean Algebra of Sentences of the Theory of a Function written by Roger Alan Simons and published by . This book was released on 1972 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
