New York Journal of Mathematics
Volume 15 (2009) 405-413


Neil Hindman and Dona Strauss

A simple characterization of sets satisfying the Central Sets Theorem

Published: August 20, 2009
Keywords: Central Sets Theorem, Ramsey Theory
Subject: 05D10, 22A15

Central subsets of a discrete semigroup S have very strong combinatorial properties which are a consequence of the Central Sets Theorem. Call a set a C-set if it satisfies the conclusion of the Central Sets Theorem. We obtain here a reasonably simple characterization of C-sets in an arbitrary discrete semigroup.


The first author acknowledges support received from the National Science Foundation via Grant DMS-0554803.

Author information

Neil Hindman:
Department of Mathematics, Howard University, Washington, DC 20059, USA

Dona Strauss:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9J2, UK