Description 
1 online resource (xiii, 468 pages) : illustrations 
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 
Summary 
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 
Bibliography 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed September 8, 2014) 
Subject 
Lattice theory.

Form 
Electronic book

Author 
Gratzer, George A., editor


Wehrung, F. (Friedrich), 1961 editor

ISBN 
3319064126 (print) 

3319064134 (electronic bk.) 

9783319064123 (print) 

9783319064130 (electronic bk.) 
