My Wish Lists Login / Join

Lecture Notes in Mathematics

By: Lutz Heindorf, Leonid B. Shapiro, S. Fuchino

Write A Review

Paperback | 16 December 1994

At a Glance

Paperback
220 Pages

Dimensions(cm)
23.39 x 15.6 x 1.17

Paperback

$74.99

or 4 interest-free payments of $18.75 with

Ships in 5 to 7 business days

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.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Algebra Geometry Topology Mathematical Foundation Mathematical Logic

Introduction	p. 1
Overview	p. 3
Prerequisites and notation	p. 8
Setting the stage	p. 11
Clubs, skeletons and filtrations	p. 11
Three types of embeddings	p. 14
Projective Boolean algebras	p. 22
Free extensions	p. 25
Projective embeddings	p. 31
rc-filtered Boolean algebras	p. 37
rc-filtrations	p. 37
The Freese/Nation property	p. 40
Subalgebras	p. 44
Homomorphic images	p. 47
Products	p. 51
First results about cardinal functions	p. 53
Computation of cardinal functions	p. 56
The free algebra on N[subscript 1] generators	p. 60
[kappa]-metrization	p. 64
Answers to some questions of Scepin	p. 66
Functors	p. 69
Generalities	p. 69
Superextensions	p. 72
Exponentials	p. 78
Symmetric powers	p. 90
[sigma]-filtered Boolean algebras	p. 97
Commuting subalgebras	p. 97
The weak Freese/Nation property	p. 100
The strong Freese/Nation property	p. 106
Weakly projective algebras	p. 111
Completions and co-completeness	p. 111
Cohen algebras	p. 115
Characterizations of weak projectivity	p. 123
Adequateness and closedness properties	p. 134
Regularly filtered algebras	p. 140
The twisted embedding	p. 147
The basic square	p. 147
Twisted embeddings	p. 151
The non-weakly projective example	p. 159
On the number of rc-filtered Boolean algebras	p. 160
A. Set-theoretic aspects	p. 165
Elementary substructures of [actual symbol not reproducible]	p. 165
Characterizations	p. 176
Answers to some other questions of Scepin	p. 183
N[subscript 2]-projectively filtered Boolean algebras	p. 186
Forcing projectivity	p. 192
References	p. 195
Index	p. 200
Table of Contents provided by Blackwell. All Rights Reserved.

Lecture Notes in Mathematics

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Topology

A Visual Approach to Introductory Functional Analysis

PHYSICAL AND GEOMETRIC KNOT THEORY

SERIES ON KNOTS AND EVERYTHING

Unraveling Topological Crochet

AK Peters/CRC Recreational Mathematics Series

Unraveling Topological Crochet

AK Peters/CRC Recreational Mathematics Series

Mathematical Analysis with Topological Examples

A Narrative Approach for Undergraduates

Studying Lacan's Seminar IX

A Stranger in My Own Midst

Studying Lacan's Seminar IX

A Stranger in My Own Midst

K-Theory and Characteristic Classes

A Homotopical Perspective

Introduction to Topology and Geometry

Introduction to Topology and Geometry

Equivariant Principal â-Bundles

Cambridge Studies in Advanced Mathematics

New Structures in Low-Dimensional Topology

Bolyai Society Mathematical Studies

An Introduction to Module Theory

Oxford Graduate Texts in Mathematics

Proceedings of the International School of Physics "Enrico Fermi" - Course 215

Topology and Materials - Villa Monastero, Varenna on Lake Como, Italy, 17-22 July 2024

New Probes into Discrete and Convex Geometry

Bolyai Society Mathematical Studies

An Introduction to Manifolds

Universitext

Triangular Bases of Unimodular Bilinear Lattices and Induced Structures

Automorphism Groups, Vanishing Cycles, Monodromy Groups, Braid Group Actions and Moduli Spaces

Nonlinear Elastic Matching Distances and Fixed Point Theory

Synthesis Lectures on Mathematics & Statistics

Geometric Orbifold Cohomology

The Symmetries of Things

AK Peters/CRC Recreational Mathematics Series

SOLVING PROB IN GEOMETRY (V10)

Insights And Strategies For Mathematical Olympiad And Competitions

ADVANCED CALCULUS (REV ED)

The Infinite Iteration Principle

Vol. 6 : Mathematical Foundations

Topology, Algebra and Categories in Logic

Lecture Notes of the Coimbra TACL Summer School, 14â"18 June 2022

This product is categorised by