Idempotents in compact semigroups and Ramsey theory |
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| Authors: | H Furstenberg Y Katznelson |
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| Institution: | (1) The E. Landau Center for Research in Mathematical Analysis, Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel;(2) Department of Mathematics, Stanford University, 94305 Stanford, CA, USA |
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| Abstract: | We prove a theorem about idempotents in compact semigroups. This theorem gives a new proof of van der Waerden’s theorem on
arithmetic progressions as well as the Hales-Jewett theorem. It also gives an infinitary version of the Hales-Jewett theorem
which includes results of T. J. Carlson and S. G. Simpson.
Research supported by the National Science Foundation under Grant No. DMS86-05098. |
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