Ordered Sets

  • Egbert Harzheim

Part of the Advances in Mathematics book series (ADMA, volume 7)

Table of contents

About this book

Introduction

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 naïve 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.

Keywords

Finite combinatorics field graph mathematics order theory ordinal set theory

Authors and affiliations

  • Egbert Harzheim
    • 1
  1. 1.University of DüsseldorfGermany

Bibliographic information

  • DOI https://doi.org/10.1007/b104891
  • Copyright Information Springer Science+Business Media, Inc. 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-24219-4
  • Online ISBN 978-0-387-24222-4
  • About this book