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Finite Ordered Sets : Concepts, Results and Uses /
A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Colección: | Encyclopedia of mathematics and its applications ;
no. 144. Cambridge books online. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn778921008 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 050 | 4 | |a QA171.48 |b .C374 2012 | |
| 072 | 7 | |a MAT |x 016000 |2 bisacsh | |
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| 084 | |a 31.10 |2 bcl | ||
| 084 | |a MAT008000 |2 bisacsh | ||
| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a Finite Ordered Sets : |b Concepts, Results and Uses / |c Nathalie Caspard, Bruno Leclerc, Bernard Monjardet. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource (350 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of Mathematics and its Applications ; |v no. 144 | |
| 500 | |a Title from publishers bibliographic system (viewed 15 Feb 2012). | ||
| 500 | |a Available through Cambridge books online SHEDL trial from 9th January 2012 to June 2012. | ||
| 520 | |a A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets. | ||
| 505 | 0 | |a Cover; Half-title; Title; Copyright; Contents; Preface; 1 Concepts and examples; 1.1 Ordered sets; 1.1.1 Orders and strict orders; 1.1.2 Graphs associated with an ordered set; 1.1.3 Diagram of an ordered set; 1.1.4 Isomorphism and duality; 1.2 Examples of uses; 1.2.1 Mathematics; 1.2.2 Biology; 1.2.3 Computer science; 1.2.4 Social sciences; 1.2.5 Operations research; 1.3 Ordered subsets and extensions; 1.3.1 Ordered subsets; 1.3.2 Chains, antichains, and associated parameters; 1.3.3 Extensions; 1.4 Particular elements and subsets; 1.4.1 Meets, joins, and irreducible elements. | |
| 505 | 8 | |a 1.4.2 Downsets and upsets (ideals and filters)1.5 Constructing ordered sets from given ones; 1.5.1 Substitution, disjoint union, linear sum, lexicographic product; 1.5.2 Direct product; 1.6 Further topics and references; 1.7 Exercises; 2 Particular classes of ordered sets; 2.1 Ranked, semimodular, and bipartite ordered sets; 2.2 Ordered sets with forbidden configurations; 2.3 Semilattices and lattices; 2.4 Linearly ordered sets and tournaments; 2.5 Further topics and references; 2.6 Exercises; 3 Morphisms of ordered sets; 3.1 Isotone and antitone maps: exponentiation. | |
| 505 | 8 | |a 3.2 Join- and meet-generating sets3.3 Closure and dual closure operators; 3.4 Residuated, residual, and Galois maps; 3.5 The Galois connection associated with a binary relation; 3.5.1 Galois lattice; 3.5.2 Table of an ordered set; 3.5.3 Completion of an ordered set; 3.6 Further topics and references; 3.7 Exercises; 4 Chains and antichains; 4.1 Dilworth's decomposition theorem; 4.2 Matchings and transversals in a bipartite ordered set; 4.3 The Sperner property; 4.4 Direct products of chains; 4.5 Further topics and references; 4.6 Exercises; 5 Ordered sets and distributive lattices. | |
| 505 | 8 | |a 5.1 Distributive lattices5.2 The distributive lattice associated with an ordered set; 5.3 Representations of a distributive lattice; 5.4 Dualities: preorders-topologies, orders-distributive lattices; 5.5 Duality between orders and spindles of linear orders; 5.6 Further topics and references; 5.7 Exercises; 6 Order codings and dimensions; 6.1 Boolean codings and Boolean dimension of an ordered set; 6.2 Dimension of an ordered set; 6.3 2-dimensional ordered sets; 6.4 k-dimension of an ordered set; 6.5 Further topics and references; 6.6 Exercises; 7 Some uses; 7.1 Models of preferences. | |
| 505 | 8 | |a 7.2 Preference aggregation: Arrowian theorems for orders7.3 The roles of orders in cluster analysis; 7.4 Implicational systems, Moore families and Galois data analysis; 7.5 Orders in scheduling; 7.5.1 The single-machine scheduling problem; 7.5.2 The m-machine scheduling problem; 7.5.3 The two-step (and two-machine) scheduling problem; 7.6 Further topics and references; 7.6.1 Preference models; 7.6.2 Preference aggregation: Arrowian theorems for orders; 7.6.3 The roles of orders in cluster analysis; 7.6.4 Implicational systems, Moore families, and Galois data analysis. | |
| 504 | |a Includes bibliographical references (pages 296-324) and index. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Ordered sets. | |
| 650 | 0 | |a Finite groups. | |
| 650 | 6 | |a Ensembles ordonnés. | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 7 | |a MATHEMATICS |x Discrete Mathematics. |2 bisacsh | |
| 650 | 7 | |a Grupos finitos |2 embne | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Ordered sets |2 fast | |
| 650 | 7 | |a Geordnete Menge |2 gnd | |
| 650 | 7 | |a Mängdteori. |2 sao | |
| 700 | 1 | |a Caspard, Nathalie. | |
| 700 | 1 | |a Leclerc, Bruno. | |
| 700 | 1 | |a Monjardet, Bernard. | |
| 776 | 0 | 8 | |i Print version: |z 9781107013698 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v no. 144. | |
| 830 | 0 | |a Cambridge books online. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569366 |z Texto completo |
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