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Finite and Infinite Combinatorics in Sets and Logic : NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES - Norbert W. Sauer

Finite and Infinite Combinatorics in Sets and Logic

NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES

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

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Published: 31st July 1993
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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.

Preface
Participants
Scientific Programme
Extensions of the Erdos-Rado Theoremp. 1
Zero Sum Trees: A Survey of Results and Open Problemsp. 19
On Superatomic Boolean Algebrasp. 31
Representing Rings Using Continuous Functionsp. 63
Homogeneous Directed Graphsp. 81
Ordinal Partition Behavior of Finite Powers of Cardinalsp. 97
Some Subdirect Products of Finite Nilpotent Groupsp. 117
Three Remarks on End-Faithfulnessp. 125
True Embedding Partition Relationsp. 135
Lattices Related to Separation in Graphsp. 153
Ramsey Numbers for Sets of Five Vertex Graphs With Fixed Number of Edgesp. 169
Finite Structures With Few Typesp. 175
Recognition Problem in Reconstruction for Decomposable Relationsp. 189
The Average Size of Nonsingular Sets in a Graphp. 199
Some Canonical Partition Ordinalsp. 207
The Group of Automorphisms of a Relational Saturated Structurep. 225
On Canonical Ramsey Numbers for Coloring Three-Element Setsp. 237
Large Subgroups of Infinite Symmetric Groupsp. 249
Homogeneous Partially Ordered Setsp. 279
Cardinal Representationsp. 289
A Vertex-to-Vertex Pursuit Game Played With Disjoint Sets of Edgesp. 299
Graphs and Posets With no Infinite Independent Setp. 313
Problems About Planar Ordersp. 337
Superstable and Unstable Theories of Orderp. 349
Advances in Cardinal Arithmeticp. 355
Conjectures of Rado and Chang and Cardinal Arithmeticp. 385
Random Structures and Zero-One Lawsp. 399
Isotone Maps: Enumeration and Structurep. 421
Problem Sessionsp. 431
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792324225
ISBN-10: 0792324226
Series: NATO SCIENCE SERIES SERIES C: MATHEMATICAL AND PHYSICAL SCIENCES : Book 411
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 453
Published: 31st July 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.69
Weight (kg): 1.86