Ordered Sets
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....
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Boston, MA :
Springer US
2005.
Cham : Springer Nature |
| Edice: | Advances in Mathematics
7 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ordered sets, by Egbert Harzheim, New York, Springer, 2005, 1 vol. (xii-386 p.), Advances in mathematics, 0-387-24219-8 |
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| 100 | 1 | |a Harzheim, Egbert, |d 1932- | |
| 245 | 1 | 0 | |a Ordered Sets |c by Egbert Harzheim. |
| 256 | |a Données textuelles | ||
| 260 | |a Boston, MA : |b Springer US. | ||
| 260 | |a Cham : |b Springer Nature, |c 2005. | ||
| 490 | 0 | |a Advances in Mathematics |v 7 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |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. 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 | ||
| 538 | |a Nécessite un lecteur de fichier PDF | ||
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| 856 | 4 | |5 452349901:876782454 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b104891 |z Accès Université d'Orléans | |
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