Ordered Sets
An Introduction
Seiten
2002
|
2003 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4128-3 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-4128-3 (ISBN)
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Offers an introduction to the basic tools of the theory of ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. This book covers topics such as chains and antichains, lowest upper and greatest lower bounds, retractions, and lattices.
An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.
An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.
Preface * List of Figures * The Basics * Chains, Antichains and Fences * Upper and Lower Bounds * Retractions * Lattices * Truncated Lattices * The Dimension of Ordered Sets * Interval Orders * Lexicographic Sums * Sets P^Q = Hom (Q, P) and Products * Enumeration * Algorithmic Aspects * Appendix A: A Primer on Algebraic Topology * Appendix B: Order vs. Analysis * References * Index
| Erscheint lt. Verlag | 6.12.2002 |
|---|---|
| Zusatzinfo | biography |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 758 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-8176-4128-9 / 0817641289 |
| ISBN-13 | 978-0-8176-4128-3 / 9780817641283 |
| Zustand | Neuware |
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