Lattice Theory: Special Topics and Applications Volume 1

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 th...

Full description

Bibliographic Details
Other Authors: Grätzer, George (Editor), Wehrung, Friedrich (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2014, 2014
Edition:1st ed. 2014
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction. Part I Topology and Lattices
  • Chapter 1. Continuous and Completely Distributive Lattices
  • Chapter 2. Frames: Topology Without Points
  • Part II. Special Classes of Finite Lattices
  • Chapter 3. Planar Semi modular Lattices: Structure and Diagram
  • Chapter 4. Planar Semi modular Lattices: Congruences
  • Chapter 5. Sectionally Complemented Lattices
  • Chapter 6. Combinatorics in finite lattices
  • Part III. Congruence Lattices of Infinite Lattices and Beyond
  • Chapter 7. Schmidt and Pudlák's Approaches to CLP
  • Chapter 8. Congruences of lattices and ideals of rings
  • Chapter 9. Liftable and Unliftable Diagrams
  • Chapter 10. Two topics related to congruence lattices of lattices