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Lattice theoryspecial topics and app...

Gratzer, George.

Lattice theoryspecial topics and applications.Volume 2 /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lattice theoryedited by George Gratzer, Friedrich Wehrung.
Reminder of title:	special topics and applications.
other author:	Gratzer, George.
Published:	Cham :Springer International Publishing :2016.
Description:	xv, 616 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lattice theory.
Online resource:	http://dx.doi.org/10.1007/978-3-319-44236-5
ISBN:	9783319442365$q(electronic bk.)

Lattice theoryspecial topics and applications.Volume 2 /
Lattice theoryspecial topics and applications.Volume 2 /[electronic resource] :edited by George Gratzer, Friedrich Wehrung. - Cham :Springer International Publishing :2016. - xv, 616 p. :ill., digital ;24 cm.

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.

George Gratzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998) In 2009, Gratzer 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.

ISBN: 9783319442365$q(electronic bk.)

Standard No.: 10.1007/978-3-319-44236-5doiSubjects--Topical Terms:

185633
Lattice theory.

LC Class. No.: QA171.5

Dewey Class. No.: 511.33

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505 0 $a 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.
520 $a George Gratzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998) In 2009, Gratzer 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.
650 0 $a Lattice theory. $3 185633
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650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 275673
650 2 4 $a Convex and Discrete Geometry. $3 277230
650 2 4 $a Polytopes. $3 205957
700 1 $a Gratzer, George. $3 309733
700 1 $a Wehrung, Friedrich. $3 522722
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950 $a Mathematics and Statistics (Springer-11649)