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Partition theorems for layered partial semigroups
by
Neil Hindman
Howard University
Coauthors: Ilijas Farah (CUNY, College of Staten Island), Jillian McLeod (Howard University)
We introduce the notions of layered semigroups and partial semigroups, and prove some Ramsey type partition results about them. These results generalize previous results of Gowers, of Furstenberg, and of Bergelson, Blass, and Hindman. (The proofs, of course, utilize the algebraic structure of the Stone-Cech compactification of these semigroups and partial semigroups.) We give some applications of these results, and present examples suggesting that our results are rather optimal.
Date received: June 7, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caeu-15.