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Ordered Sets
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This detailed textbook presents a great deal of material on ordered sets not previously published in the still rather limited textbook literature. It should be suitable as a text for a course on order theory.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. Other topics dealt with include dimension theory of ordered sets, well-quasi-ordered sets, trees, combinatorial set theory for ordered sets, comparison of order types, and comparibility graphs. §Audience§This book is intended for mathematics students and for mathemeticians who are interested in set theory. Only some fundamental parts of na
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