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  • © 2016

Lattice Theory: Special Topics and Applications

Volume 2

Birkhäuser
  • Standard reference work for researchers in this area

  • Second supplementary volume to the revised and enlarged third edition of General Lattice Theory (Lattice Theory: Foundations)

  • Together with Foundations the most comprehensive work on an explosively growing field

  • Includes supplementary material: sn.pub/extras

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xv
  2. Varieties of Lattices

    • P. Jipsen, H. Rose
    Pages 1-26
  3. Free and Finitely Presented Lattices

    • R. Freese, J. B. Nation
    Pages 27-58
  4. Classes of Semidistributive Lattices

    • K. Adaricheva, J. B. Nation
    Pages 59-101
  5. Lattices of Algebraic Subsets and Implicational Classes

    • K. Adaricheva, J. B. Nation
    Pages 103-151
  6. Convex Geometries

    • K. Adaricheva, J. B. Nation
    Pages 153-179
  7. Bases of Closure Systems

    • K. Adaricheva, J. B. Nation
    Pages 181-213
  8. Permutohedra and Associahedra

    • N. Caspard, L. Santocanale, F. Wehrung
    Pages 215-286
  9. Generalizations of the Permutohedron

    • L. Santocanale, F. Wehrung
    Pages 287-397
  10. Lattice Theory of the Poset of Regions

    • N. Reading
    Pages 399-487
  11. Finite Coxeter Groups and the Weak Order

    • N. Reading
    Pages 489-561
  12. Back Matter

    Pages 563-616

About this book

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, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation.


This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

Keywords

  • combinatorics
  • congruence lattice
  • finite lattice
  • lattice theory
  • topology

Editors and Affiliations

  • Department of Mathematics, University of Manitoba, Winnipeg, Canada

    George Grätzer

  • Department of Mathematics, University of Caen, Caen, France

    Friedrich Wehrung

About the editors

George Grätzer, Member of the Canadian Academy of Sciences and Foreign Member of the Hungarian Academy of Sciences, is the author of 26 books in five languages and about 270 articles, most of them on his research in lattice theory.

Friedrich Wehrung is professor at the University of Caen and an associate editor for Algebra Universalis, a mathematical journal devoted to universal algebra and lattice theory. He is the author of numerous publications in the field and wrote an appendix to the second edition of Grätzer's General Lattice Theory.

Bibliographic Information

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access