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Titlebook: Lattice Theory: Special Topics and Applications; Volume 1 George Grätzer,Friedrich Wehrung Book 2014 Springer International Publishing Swit

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发表于 2025-3-21 16:36:00 | 显示全部楼层 |阅读模式
书目名称Lattice Theory: Special Topics and Applications
副标题Volume 1
编辑George Grätzer,Friedrich Wehrung
视频video
概述Standard reference work for researchers in this area.First supplementary volume to the revised and enlarged third edition of General Lattice Theory (Lattice Theory: Foundations).Together with Foundati
图书封面Titlebook: Lattice Theory: Special Topics and Applications; Volume 1 George Grätzer,Friedrich Wehrung Book 2014 Springer International Publishing Swit
描述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.
出版日期Book 2014
关键词combinatorics; congruence lattice; finite lattice; lattice theory; topology
版次1
doihttps://doi.org/10.1007/978-3-319-06413-0
isbn_softcover978-3-319-06412-3
isbn_ebook978-3-319-06413-0
copyrightSpringer International Publishing Switzerland 2014
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发表于 2025-3-21 22:12:16 | 显示全部楼层
Planar Semimodular Lattices: Structure and Diagramsstudy of . lattices began only in 2007 (G. Grätzer and E. Knapp [140]–[144] and G. Grätzer and T. Wares [182]). This was followed by G. Czédli and E.T. Schmidt [55]–[57], and G. Czédli [44]. This chapter presents an overview of these papers.
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https://doi.org/10.1007/978-3-319-06413-0combinatorics; congruence lattice; finite lattice; lattice theory; topology
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Frames: Topology Without PointsIn classical (synthetic) geometry, lines and planes are not sets of points. They are entities in their own right, and the geometry is based on relations between them (and points, the other entities present). It is only in analytic geometry that one starts with a set and imposes on it the geometric structure by defining specific subsets.
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Combinatorics in finite latticesCombinatorial or counting problems in lattices were asked as soon as lattices were discovered. In one of the founding papers of lattice theory, [62], Richard Dedekind asked for the number of elements in the free distributive lattice with . generators.
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