One of the important areas of contemporary combinatorics is Ramsey
theory. Ramsey theory is basically the study of structure preserved
under partitions. The general philosophy is reflected by its
interdisciplinary character. The ideas of Ramsey theory are shared
by logicians, set theorists and combinatorists, and have been
successfully applied in other branches of mathematics. The whole
subject is quickly developing and has some new and unexpected
applications in areas as remote as functional analysis and
theoretical computer science. This book is a homogeneous collection
of research and survey articles by leading specialists. It surveys
recent activity in this diverse subject and brings the reader up to
the boundary of present knowledge. It covers virtually all main
approaches to the subject and suggests various problems for
individual research.
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