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  WellFounded Posets, pwosets, 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 settheoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the settheoretical 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 369377) and index 
Notes 
Print version record 
Subject 
Ordered sets.

Form 
Electronic book

LC no. 
2006275118 
ISBN 
0387242198 

0387242228 

9780387242194 

9780387242224 
