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  • Book
  • © 1994

Nearly Projective Boolean Algebras

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1596)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-X
  2. Introduction

    • Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro
    Pages 1-10
  3. Setting the stage

    • Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro
    Pages 11-35
  4. rc-filtered Boolean algebras

    • Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro
    Pages 37-68
  5. Functors

    • Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro
    Pages 69-96
  6. σ-filtered Boolean algebras

    • Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro
    Pages 97-109
  7. Weakly projective and regularly filtered algebras

    • Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro
    Pages 111-145
  8. The twisted embedding and its applications

    • Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro
    Pages 147-163
  9. Back Matter

    Pages 165-206

About this book

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.

Keywords

  • Boolean Algebras
  • Compact space
  • algebra
  • compact topological space
  • metrizable
  • projectivity
  • universal algebra

Bibliographic Information

  • Book Title: Nearly Projective Boolean Algebras

  • Authors: Lutz Heindorf, Sakaé Fuchino, Leonid B. Shapiro

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094103

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-58787-3Published: 16 December 1994

  • eBook ISBN: 978-3-540-49101-9Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 210

  • Topics: Algebra, Mathematical Logic and Foundations, Topology

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions