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

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發(fā)表于 2025-3-21 16:36:00 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Lattice Theory: Special Topics and Applications
副標題Volume 1
編輯George Gr?tzer,Friedrich Wehrung
視頻videohttp://file.papertrans.cn/582/581946/581946.mp4
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
圖書封面Titlebook: Lattice Theory: Special Topics and Applications; Volume 1 George Gr?tzer,Friedrich Wehrung Book 2014 Springer International Publishing Swit
描述George Gr?tzer‘s. Lattice Theory: Foundation. is his third book on lattice theory (.General Lattice Theory., 1978, second edition, 1998). In 2009, Gr?tzer 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 Gr?tzer and Joseph P. S. Kung. Part III. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich Wehrung and George Gr?tzer.
出版日期Book 2014
關(guān)鍵詞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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Planar Semimodular Lattices: Structure and Diagramsstudy of . lattices began only in 2007 (G. Gr?tzer and E. Knapp [140]–[144] and G. Gr?tzer 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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