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Lattice theory[electronic resource] :special topics and applications.Volume 2 /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	511.33
書名/作者:	Lattice theory : special topics and applications./ edited by George Gratzer, Friedrich Wehrung.
其他作者:	Gratzer, George.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xv, 616 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Lattice theory.
標題:	Mathematics.
標題:	Order, Lattices, Ordered Algebraic Structures.
標題:	Convex and Discrete Geometry.
標題:	Polytopes.
ISBN:	9783319442365
ISBN:	9783319442358
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-44236-5

Lattice theory[electronic resource] :special 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

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

512510
Lattice theory.

LC Class. No.: QA171.5

Dewey Class. No.: 511.33

Lattice theory[electronic resource] :special topics and applications.Volume 2 /
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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.
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