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Lattice theory. Volume 1 : special topics and applications / George Grätzer, Friedrich Wehrung, editors.

Gratzer, George A., editor.; Wehrung, F. (Friedrich), 1961- editor.
2014
QA171.5
Available Online
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Title
Lattice theory. Volume 1 : special topics and applications / George Grätzer, Friedrich Wehrung, editors.
ISBN
9783319064130 (electronic book)
3319064134 (electronic book)
9783319064123
DOI
https://doi.org/10.1007/978-3-319-06413-0
Published
Cham : Birkhäuser, 2014.
Language
English
Description
1 online resource (xiii, 468 pages) : illustrations
Item Number
10.1007/978-3-319-06413-0 doi
Call Number
QA171.5
Dewey Decimal Classification
511.3/3
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, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 8, 2014).
Added Author
Gratzer, George A., editor.
Wehrung, F. (Friedrich), 1961- editor.
Available in Other Form
Print version: 9783319064123
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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.

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