Ordered Sets

By:

Egbert Harzheim

Format:

Paperback / softback

Series:

Advances in Mathematics

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Description

This book is written particularly for mathematics students and, of course, for mathematicians interested in set theory. Only some fun- mental parts of naive set theory are presupposed, - not more than is treated in a textbook on set theory, even if this restricts us only to the most basic facts of this field. We have summarized all of this in Chapter 0 without longer discusssions and explanations, because there are s- eral textbooks which can be consulted by the reader, e.g. HrbacekIJech [88], KneeboneIRotman [99], ShenIVereshchagin [159]. Besides this only elementary facts of analysis are used. The theory of ordered sets can be divided into two parts, depending on whether the sets under consideration are finite or infinite. The first part is grounded mainly in combinatorics and graph theory and does not make essential use of set-theorical concepts, whereas the second part presupposes a knowledge of the fundamental notions of set theory, in particular of the system of ordinal and cardinal numbers. In this book we mainly deal with general infinite ordered sets. In this field the textbook literature is still very small. Therefore this book supplements the existing literature.

Release date Australia

December 6th, 2010

Author

Egbert Harzheim

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 2005

Illustrations

XII, 386 p.

Pages

386

Series

Advances in Mathematics

Dimensions

156x234x20

ISBN-13

9781441937049

Product ID

8938127

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