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....
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| Hlavní autor: | |
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| Korporativní autor: | |
| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | English |
| Vydáno: |
New York, NY :
Springer US : Imprint: Springer,
2005.
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| Vydání: | 1st ed. 2005. |
| Edice: | Advances in Mathematics ;
7 |
| Témata: | |
| On-line přístup: | https://doi.org/10.1007/b104891 |
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Obsah:
- 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.