|
| Título : |
Ordered Sets |
| Tipo de documento: |
documento electrónico |
| Autores: |
Harzheim, Egbert ; SpringerLink (Online service) |
| Editorial: |
Boston, MA : Springer US |
| Fecha de publicación: |
2005 |
| Colección: |
Advances in Mathematics num. 7 |
| Número de páginas: |
XII, 386 p |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-0-387-24222-4 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Mathematics Algebra Ordered algebraic structures Order, Lattices, Algebraic Structures |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/b104891 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35079 |
Ordered Sets [documento electrónico] / Harzheim, Egbert ; SpringerLink (Online service) . - Boston, MA : Springer US, 2005 . - XII, 386 p : online resource. - ( Advances in Mathematics; 7) . ISBN : 978-0-387-24222-4 Idioma : Inglés ( eng)
| Palabras clave: |
Mathematics Algebra Ordered algebraic structures Order, Lattices, Algebraic Structures |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/b104891 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35079 |
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Ordered Sets (2005)
