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Neil Hindman and Dona Strauss
A simple characterization of sets satisfying the Central Sets Theorem
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| Published: |
August 20, 2009
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| Keywords: |
Central Sets Theorem, Ramsey Theory |
| Subject: |
05D10, 22A15 |
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Abstract
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.
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| Acknowledgements
The first author acknowledges support received from the National Science Foundation via Grant DMS-0554803.
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| Author information
Neil Hindman:
Department of Mathematics, Howard University, Washington, DC 20059, USA
nhindman@aol.com
http://mysite.verizon.net/nhindman
Dona Strauss:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9J2, UK
d.strauss@hull.ac.uk
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