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Table of contents (12 chapters)
Reviews
From the reviews:
"The exposition of material in Ordered Sets is generally quite clear. … The list of symbols is useful. … the book contains an unusual mix of topics that reflects both the author’s varied interests and developments in the theory of infinite ordered sets, particularly concerning universal orders, the splitting method, and aspects of well-quasi ordering. It will be of greatest interest to readers who want a selective treatment of such topics." (Dwight Duffus, SIAM Review, Vol. 48 (1), 2006)
"The textbook literature on ordered sets is rather limited. So this book fills a gap. It is intended for mathematics students and for mathematicians who are interests in ordered sets." (Martin Weese, Zentralblatt MATH, Vol. 1072, 2005)
"This book is a comprehensive introduction to the theory of partially ordered sets. It is a fine reference for the practicing mathematician, and an excellent text for a graduate course. Chains, antichains, linearly ordered sets, well-ordered sets, well-founded sets, trees, embedding, cofinality, products, topology, order types, universal sets, dimension, ordered subsets of power sets, comparability graphs, a little partition calculus … it’s pretty much all here, clearly explained and well developed." (Judith Roitman, Mathematical Reviews, Issue 2006 e)
Authors and Affiliations
Bibliographic Information
Book Title: Ordered Sets
Authors: Egbert Harzheim
Series Title: Advances in Mathematics
DOI: https://doi.org/10.1007/b104891
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag US 2005
Hardcover ISBN: 978-0-387-24219-4Published: 17 February 2005
Softcover ISBN: 978-1-4419-3704-9Published: 06 December 2010
eBook ISBN: 978-0-387-24222-4Published: 25 July 2005
Edition Number: 1
Number of Pages: XII, 386