Idempotents in compact semigroups and Ramsey theory

H. Furstenberg; Y. Katznelson

doi:10.1007/BF02764984

Idempotents in compact semigroups and Ramsey theory

H. Furstenberg^*
, Y. Katznelson

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

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.

Original language	English
Pages (from-to)	257-270
Number of pages	14
Journal	Israel Journal of Mathematics
Volume	68
Issue number	3
DOIs	https://doi.org/10.1007/BF02764984
State	Published - Oct 1989

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Idempotents in compact semigroups and Ramsey theory

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