Finite and Infinite Combinatorics in Sets and Logic - NATO Science Series C 1993 edition

Marc Notes: Includes bibliographical references.; Published in cooperation with NATO Scientific Affairs Division.. Table of Contents: Preface. Extensions of the Erdos--Rado Theorem; J. E. Baumgartner, A. Hajnal, S. Todorcevic. Zero Sum Trees: a Survey of Results and Open Problems; A. Bialostocki. On Superatomic Boolean Algebras; R. Bonnet. Representing Rings using Continuous Functions; A. B. Carson. Homogeneous Directed Graphs; G. L. Cherlin. Ordinal Partition Behavior of Finite Powers of Cardinals; P. Erdoos, A. Hajnal, J. A. A. Larson. Some Subdirect Products of Finite Nilpotent Groups; D. M. Evans. Three Remarks on End-Faithfulness; G. Hahn, J. Siran. True Embedding Partition Relations; A. Hajnal. Lattices related to Separation in Graphs; R. Halin. Ramsey Numbers for Sets of Five Vertex Graphs with Fixed Number of Edges; H. Harborth. Finite Structures with Few Types; E. Hrushovski. Recognition Problem in Reconstruction for Decomposable Relations; P. Ille. The Average Size of Nonsingular Sets in a Graph; W. Imrich, N. Sauer, W. Woess. Some Canonical Partition Ordinals; J. A. Larson. The Group of Automorphisms of a Relational Saturated Structure; D. Lascar. On Canonical Ramsey Numbers for Coloring Three-Element Sets; H. Lefmann, V. Rodl. Large Subgroups of Infinite Symmetric Groups; D. Macpherson. Homogeneous Partially Ordered Sets; A. H. Mekler. Cardinal Representations; E. C. Milner. A Vertex-to-Vertex Pursuit Game played with Disjoint Sets of Edges; S. Neufeld, R. J. Nowakowski. Graphs and Posets with no Infinite Independent Set; M. Pouzet. Problems about Planar Orders; I. Rival. Superstable and Unstable Theories of Order; T. J. Schneider. Advances in Cardinal Arithmetic; S. Shelah. Conjectures of Rado and Chang and Cardinal Arithmetic; S. Todorčević. Random Structures and Zero--One Laws; P. Winkler. Isotone Maps: Enumeration and Structure; N. Zaguia. Problem Sessions."Publisher Marketing: Highlights the connections between problems in finite combinatorics and graph theory on the one hand and the more foundational subjects of logic and set theory on the other. This book contains articles which touch in one way or another on homogeneous structures.