ENGLISH

Ordered Sets

By Egbert Harzheim (auth.)

Book information

Publisher
Springer US
Year
2005
ISBN
0387242198, 9780387242194
DOI
10.1007/b104891
Open Library ID
OL7444650M
Language
english
Format
DJVU
Filesize
2 MB (2460857 bytes)
Series
Advances in Mathematics 7
Edition
1
Pages
386\390
Topic
Mathematics Algebra
Library
Kolxo3
DPI
299
Time added
2009-07-20 03:45:11
LatticesOrderOrdered Algebraic Structures

Description

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.

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