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Author Harzheim, Egbert, 1932-

Title Ordered sets / by Egbert Harzheim
Published New York : Springer, [2005]
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Description 1 online resource (xii, 386 pages) : figure
Series Advances in mathematics ; v. 7
Advances in mathematics (Springer Science+Business Media) ; v. 7
Contents Preface -- Fundamental Notions of Set Theory -- Fundamental Notions -- General Relations Between Posets and Their Chains and Antichains -- Linearly Ordered Sets -- Products of Orders -- Universally Ordered Sets -- Applications of the Splitting Method -- The Dimension of Posets -- Well-Founded Posets, pwo-sets, and Trees -- On the Order Structure of Power Sets -- Comparison of Order Types -- Comparability -- Graphs -- References -- Index -- List of Symbols
Summary "The textbook literature on ordered sets is still rather limited. A lot of material is presented in this book that appears now for the first time in a textbook." "Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the set-theoretical parts prevail. The book treats in detail lexicographic products and their connections with universally ordered sets, and further it gives thorough investigations on the structure of power sets." "This book is intended for mathematics students and for mathematicians who are interested in set theory. Only some fundamental parts of naive set theory are presupposed. Since all proofs are worked out in great detail, the book should be suitable as a text for a course on order theory."--Jacket
Bibliography Includes bibliographical references (pages 369-377) and index
Notes Print version record
Subject Ordered sets.
Form Electronic book
LC no. 2006275118
ISBN 0387242198