Lattice Theory: Special Topics and Applications

Volume 1

  • George Grätzer
  • Friedrich Wehrung

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Topology and Lattices

    1. Front Matter
      Pages 1-3
    2. Klaus Keimel, Jimmie Lawson
      Pages 5-53
    3. Aleš Pultr, Jiří Sichler
      Pages 55-88
  3. Special Classes of Finite Lattices

    1. Front Matter
      Pages 89-89
    2. Gábor Czédli, George Grätzer
      Pages 91-130
    3. George Grätzer
      Pages 131-165
    4. George Grätzer
      Pages 167-194
    5. Joseph P. S. Kung
      Pages 195-229
  4. Congruence Lattices of Infinite Lattices, and Beyond

    1. Front Matter
      Pages 231-233
    2. Friedrich Wehrung
      Pages 235-296
    3. Friedrich Wehrung
      Pages 297-335
    4. Friedrich Wehrung
      Pages 337-392
  5. Back Matter
    Pages 437-468

About this book

Introduction

George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This first volume is divided into three parts. Part I. Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Lawson and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Grätzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Grätzer.

Keywords

combinatorics congruence lattice finite lattice lattice theory topology

Editors and affiliations

  • George Grätzer
    • 1
  • Friedrich Wehrung
    • 2
  1. 1.Department of MathematicsUniversity of ManitobaWinnipegCanada
  2. 2.Department of MathematicsUniversity of CaenCaenFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06413-0
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-06412-3
  • Online ISBN 978-3-319-06413-0
  • About this book