Finite and Infinite Combinatorics in Sets and Logic

By: Norbert W Sauer (Editor), Robert Woodrow (Editor), B. Sands (Editor)

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Hardcover | 31 July 1993

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476 Pages

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23.39 x 15.6 x 2.69

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This volume contains the accounts of papers delivered at the Nato Advanced Study Institute on Finite and Infinite Combinatorics in Sets and Logic held at the Banff Centre, Alberta, Canada from April 21 to May 4, 1991. As the title suggests the meeting brought together workers interested in the interplay between finite and infinite combinatorics, set theory, graph theory and logic. It used to be that infinite set theory, finite combinatorics and logic could be viewed as quite separate and independent subjects. But more and more those disciplines grow together and become interdependent of each other with ever more problems and results appearing which concern all of those disciplines. I appreciate the financial support which was provided by the N. A. T. O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the Department of Mathematics and Statistics of the University of Calgary. 11l'te meeting on Finite and Infinite Combinatorics in Sets and Logic followed two other meetings on discrete mathematics held in Banff, the Symposium on Ordered Sets in 1981 and the Symposium on Graphs and Order in 1984. The growing inter-relation between the different areas in discrete mathematics is maybe best illustrated by the fact that many of the participants who were present at the previous meetings also attended this meeting on Finite and Infinite Combinatorics in Sets and Logic.

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Non-Fiction Mathematics Combinatorics & Graph Theory Mathematical Foundation Mathematical Logic Set Theory Computing & I.T.Databases Data Capture & Analysis Discrete Mathematics Computer Science

Preface
Participants
Scientific Programme
Extensions of the Erdos-Rado Theorem	p. 1
Zero Sum Trees: A Survey of Results and Open Problems	p. 19
On Superatomic Boolean Algebras	p. 31
Representing Rings Using Continuous Functions	p. 63
Homogeneous Directed Graphs	p. 81
Ordinal Partition Behavior of Finite Powers of Cardinals	p. 97
Some Subdirect Products of Finite Nilpotent Groups	p. 117
Three Remarks on End-Faithfulness	p. 125
True Embedding Partition Relations	p. 135
Lattices Related to Separation in Graphs	p. 153
Ramsey Numbers for Sets of Five Vertex Graphs With Fixed Number of Edges	p. 169
Finite Structures With Few Types	p. 175
Recognition Problem in Reconstruction for Decomposable Relations	p. 189
The Average Size of Nonsingular Sets in a Graph	p. 199
Some Canonical Partition Ordinals	p. 207
The Group of Automorphisms of a Relational Saturated Structure	p. 225
On Canonical Ramsey Numbers for Coloring Three-Element Sets	p. 237
Large Subgroups of Infinite Symmetric Groups	p. 249
Homogeneous Partially Ordered Sets	p. 279
Cardinal Representations	p. 289
A Vertex-to-Vertex Pursuit Game Played With Disjoint Sets of Edges	p. 299
Graphs and Posets With no Infinite Independent Set	p. 313
Problems About Planar Orders	p. 337
Superstable and Unstable Theories of Order	p. 349
Advances in Cardinal Arithmetic	p. 355
Conjectures of Rado and Chang and Cardinal Arithmetic	p. 385
Random Structures and Zero-One Laws	p. 399
Isotone Maps: Enumeration and Structure	p. 421
Problem Sessions	p. 431
Table of Contents provided by Blackwell. All Rights Reserved.

Finite and Infinite Combinatorics in Sets and Logic

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