Ordered Sets [E-Book] : Proceedings of the NATO Advanced Study Institute held at Banff, Canada, August 28 to September 12, 1981 / edited by Ivan Rival.
This volume contains all twenty-three of the principal survey papers presented at the Symposium on Ordered Sets held at Banff, Canada from August 28 to September 12, 1981. The Symposium was supported by grants from the NATO Advanced Study Institute programme, the Natural Sciences and Engineering Res...
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Full text |
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Personal Name(s): | Rival, Ivan, editor |
Imprint: |
Dordrecht :
Springer,
1982
|
Physical Description: |
978 p. online resource. |
Note: |
englisch |
ISBN: |
9789400977983 |
DOI: |
10.1007/978-94-009-7798-3 |
Series Title: |
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NATO Advanced Study Institutes Series, Series C — Mathematical and Physical Sciences ;
83 |
Subject (LOC): |
- I. Structure and Arithmetic of Ordered Sets
- Arithmetic of ordered sets
- Exponentiation and duality
- The retract construction
- II. Linear Extensions
- Linear extensions of ordered sets
- Dimension theory for ordered sets
- Linear extensions of partial orders and the FKG inequality
- III. Set Theory and Recursion
- Order types of real numbers and other uncountable orderings
- On the cofinality of partially ordered sets
- Infinite ordered sets, a recursive perspective
- IV. Lattice Theory
- The role of order in lattice theory
- Some order theoretic questions about free lattices and free modular lattices
- An introduction to the theory of continuous lattices
- Ordered sets in geometry
- Restructuring lattice theory: an approach based on hierarchies of concepts
- V. Enumeration
- Extremal problems in partially ordered sets
- Enumeration in classes of ordered structures
- The Möbius function of a partially ordered set
- An introduction to Cohen-Macaulay partially ordered sets
- VI. Applications of Ordered Sets to Computer Sciences
- Ordered sets and linear programming
- Machine scheduling with precedence constraints
- Some ordered sets in computer science
- VII. Applications of Ordered Sets to Social Sciences
- Ordered sets and social sciences
- Some social science applications of ordered sets
- VIII. Problem Sessions
- Order types
- Combinatorics
- Linear extensions of finite ordered sets
- Scheduling and sorting
- Graphs and enumeration
- Social science and operations research
- Recursion and game theory
- Order-preserving maps
- Lattices
- Miscellaneous
- IX. A Bibliography.