Lattice Theory: Special Topics and Applications Volume 2 /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Grätzer, George (Editor), Wehrung, Friedrich (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Subjects: Mathematics.; Algebra.; Ordered algebraic structures.; Convex geometry.; Discrete geometry.; Polytopes.; Order, Lattices, Ordered Algebraic Structures.; Convex and Discrete Geometry.

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...

Table of Contents:

• Varieties of Lattices
• Free and Finitely Presented Lattices
• Classes of Semidistributive Lattices
• Lattices of Algebraic Subsets and Implicational Classes
• Convex Geometries
• Bases of Closure Systems
• Permutohedra and Associahedra
• Generalizations of the Permutohedron
• Lattice Theory of the Poset of Regions
• Finite Coxeter Groups and the Weak Order.