1 edition of **Cardinal Invariants on Boolean Algebras** found in the catalog.

- 93 Want to read
- 37 Currently reading

Published
**2010**
by Birkhäuser Basel in Basel
.

Written in English

- Mathematics,
- Symbolic and mathematical Logic,
- Algebra

**Edition Notes**

Statement | by J. Donald Monk |

Series | Modern Birkhäuser Classics |

Contributions | SpringerLink (Online service) |

The Physical Object | |
---|---|

Format | [electronic resource] / |

ID Numbers | |

Open Library | OL27023179M |

ISBN 10 | 9783034603331, 9783034603348 |

If you have question, contact our Customer Service! eMail: [email protected] phone North & Latin America: + phone Europe, Middle East, Africa, Asia, Pacific & . Cardinal invariants on Boolean algebras (Second revised edition) (1) Problem 46 has a positive answer: p(A⊕ B) = min{p(A),p(B)}. Proof. ≤ is clear. For ≥, assume that X ⊆ A⊕B, Q X = 0, and ∀F ∈ [X].

Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Home» MAA Publications» MAA Reviews» Cardinal Invariants on Boolean Algebras. Cardinal Invariants on Boolean Algebras. J. D. Monk. Publisher: Birkhäuser. Publication Date: More on cardinal invariants of Boolean algebras Roslanowski, Andrzej; Shelah, Saharon; Abstract. We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency results. We show in ZFC that irr(B_0 times B_1)= max(irr(B_0),irr(B_1)). We prove consistency of the Cited by: 2.

Let inv denote the cardinal invariants Depth^+ and Length^+ on Boolean algebras. For many singular cardinals we create a strict inequality between the product of the inv values and the inv of the. Finally we show that consistently there is a Boolean algebra B of size λ such that there is no free sequence in B of length λ, there is an ultrafilter of tightness λ (so t(B) = λ) and In the present paper we answer (sometimes partially only) several questions of Donald Monk concerning cardinal invariants of Boolean algebras.

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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 : J.

Donald Monk. 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 : Birkhäuser Basel.

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.

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 () by the same author, the present work is.

springer, 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.

Cardinal Invariants on Boolean Algebras. Authors (view affiliations) J. Donald Monk; Book. 10 Citations; Special classes of Boolean algebras.

Donald Monk. Pages Cellularity. Donald Monk. Pages Depth. Boolean Cardinal Invariants on Boolean Algebras book Cardinal functions Cellularity Fedorchukís theorem Logic Ultraproduct forcing proof set theory.

There are several surveys of cardinal functions on Boolean algebras, or, more generally, on topological sp aces: See Arhangelski [78], Comfort [71], van Douwen [89], Hodel [84], Juh´ asz [75], Juh´ asz [80], Juh´ asz [84], Monk [84], Monk [90], and Monk [96].

We shall not assume any acquaintance with any of these. On the otherFile Size: 5MB. Based on Cardinal Functions on Boolean Algebras () 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. Many of the cardinal functions on Boolean algebras can be described as either invariants or invariants.

Some of them originated in cardinal functions on topological spaces and have various equivalent denitions in the Boolean. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The purpose of these notes is to describe the progress made on the 97 open problems formulated in the book Cardinal invariants on Boolean algebras, hereafter denoted by [CI].

Although we assume acquaintance with that book, we give some background for many problems, and state without proof most results relevant to. Title: More on cardinal invariants of Boolean algebras.

Authors: Andrzej Roslanowski, Saharon Shelah (Submitted on 12 Aug ) Abstract: We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency results. We show in ZFC that irr(B_0 times B_1)= max(irr(B_0 Cited by: 2.

Cardinal Invariants on Boolean Algebras: Second Revised Edition (Progress in Mathematics Book ) (English Edition) eBook: Monk, J. Donald: : Tienda KindleFormat: Kindle. We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency re Cited by: 6.

Abstract: We construct Boolean Algebras answering questions of Monk on cardinal invariants. The results are proved in ZFC (rather than giving consistency results).

We deal with the existence of superatomic Boolean Algebras with ``few automorphisms'', with entangled sequences of linear orders, and with semi-ZFC examples of the non-attainment of the spread (and hL, hd).Author: Saharon Shelah. Cardinal Invariants on Boolean Algebras Autor James D.

Monk 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 subalge.

The present status of the problems in my book "Cardinal Invariants on Boolean algebras" (Birkhauser ) is described, with a description of solutions or partial solutions, and references. Addeddate. cardinal invariants of ultraproducts of Boolean algebras.

We also introduce and investigate several new cardinal invariants. Introduction. In the present paper we deal with cardinal invariants of Boolean algebras and ultraproducts. Several questions in this area were posed by Monk ([Mo 1], [Mo 2], [Mo 3]) and we address some of them.

Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more. Cardinal invariants on Boolean algebras in SearchWorks catalog Skip to search Skip to main content.

More on cardinal invariants of Boolean algebras. Cardinal Invariants on Boolean Algebras 英文书摘要. 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.

The purpose of these notes is to describe the progress made on the 97 open problems formulated in the book Cardinal invariants on Boolean algebras, hereafter denoted by [CI].

Although we assume acquaintance with that book, we give some background for many problems, and state without proof most results relevant to the problems, as far as the Author: J.

Donald Monk.Cardinal invariants on Boolean algebras. [J Donald Monk] -- 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.We deal with some of problems posed by Monk and related to cardinal invariant of ultraproducts of Boolean algebras.

We also introduce and investigate some new cardinal invariants.