Ordered sets
(eBook)
Author:
Published:
New York : Springer, ©2005.
Format:
eBook
ISBN:
9780387242224, 0387242228, 9780387242194, 0387242198
Content Description:
1 online resource (xii, 386 pages) : figure
Status:
Available Online
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." "This book is intended for mathematics students and for mathematicians who are interested in set theory. Only some fundamental parts of naive 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."--Jacket
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Citations
APA Citation (style guide)
Harzheim, E. (2005). Ordered sets. New York, Springer.
Chicago / Turabian - Author Date Citation (style guide)Harzheim, Egbert, 1932-. 2005. Ordered Sets. New York, Springer.
Chicago / Turabian - Humanities Citation (style guide)Harzheim, Egbert, 1932-, Ordered Sets. New York, Springer, 2005.
MLA Citation (style guide)Harzheim, Egbert. Ordered Sets. New York, Springer, 2005.
Note! Citation formats are based on standards as of July 2022. Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy.
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Language:
English
UPC:
10.1007/b104891., 9786611334635
Notes
Bibliography
Includes bibliographical references (pages 369-377) and index.
Restrictions on Access
University staff and students only. Requires University Computer Account login off-campus.
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." "This book is intended for mathematics students and for mathematicians who are interested in set theory. Only some fundamental parts of naive 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."--Jacket
Staff View
Grouped Work ID:
34497c77-4fa6-e031-fd19-cac98f745ad2
Record Information
| Last Sierra Extract Time | May 01, 2024 10:20:23 AM |
|---|---|
| Last File Modification Time | May 01, 2024 10:24:39 AM |
| Last Grouped Work Modification Time | May 01, 2024 10:20:34 AM |
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| 504 | |a Includes bibliographical references (pages 369-377) and index. | ||
| 505 | 0 | |a Preface -- 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 -- References -- Index -- List of Symbols. | |
| 506 | |a University staff and students only. Requires University Computer Account login off-campus. | ||
| 520 | 1 | |a "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." "This book is intended for mathematics students and for mathematicians who are interested in set theory. Only some fundamental parts of naive 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."--Jacket | |
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