Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Handbook of Boolean Algebras
Author: Handbook of Boolean Algebras
Author: Sabine KoppelbergPublisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 370
Book Description
Introduction to Boolean Algebras
Author: Steven GivantPublisher: Springer Science & Business Media
ISBN: 0387402934
Category : Mathematics
Languages : en
Pages : 589
Book Description
This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.
Handbook of Boolean Algebras 2
Author: James Donald MonkPublisher:
ISBN: 9780444872913
Category :
Languages : en
Pages : 402
Book Description
Handbook of Boolean Algebras: General theory of Boolean algebras by Sabine Koppelberg
Author: James Donald MonkPublisher:
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 0
Book Description
Handbook of Boolean Algebras: Part 2: Topics in the theory of Boolean algebras
Author: James Donald MonkPublisher:
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 0
Book Description
Cardinal Invariants on Boolean Algebras
Author: J. Donald MonkPublisher: Springer Science & Business Media
ISBN: 3034603347
Category : Mathematics
Languages : en
Pages : 308
Book Description
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.
Lectures on Boolean Algebras
Author: Paul R. HalmosPublisher: Courier Dover Publications
ISBN: 0486834573
Category : Mathematics
Languages : en
Pages : 160
Book Description
Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Boolean Algebras in Analysis
Author: D.A. VladimirovPublisher: Springer Science & Business Media
ISBN: 940170936X
Category : Mathematics
Languages : en
Pages : 614
Book Description
Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis.
Cardinal Invariants on Boolean Algebras
Author: J. Donald MonkPublisher: Springer Science & Business Media
ISBN: 3034807309
Category : Mathematics
Languages : en
Pages : 569
Book Description
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.