Egbert Harzheim: Ordered Sets | Taschenbuch

Cover: 9781441937049 | Ordered Sets | Egbert Harzheim | Taschenbuch | xii | Englisch | 2010

Rückseite: 9781441937049 | Ordered Sets | Egbert Harzheim | Taschenbuch | xii | Englisch | 2010

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Sprache: Englisch

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Beschreibung

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.

Inhaltsverzeichnis

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.- Well-founded posets, pwo-sets and trees.- On the order structure of power sets.- Comparison of order types.- Comparability graphs.

Erscheinungsjahr:	2010
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 386 S. 27 s/w Illustr.
ISBN-13:	9781441937049
ISBN-10:	1441937048
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Harzheim, Egbert
Hersteller:	Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 22 mm
Von/Mit:	Egbert Harzheim
Erscheinungsdatum:	06.12.2010
Gewicht:	0,604 kg