Ramsey’s theorem for spaces

Joel H. Spencer

doi:10.1090/S0002-9947-1979-0525678-7

Ramsey’s theorem for spaces

Joel H. Spencer

Computer Science

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

Abstract

A short proof is given of the following known result For all k, r, t there exists n so that if the t-spaces of an t-space are r-colored there exists a fc-space all of whose t-spaces are the same color. Here t-space refers initially to a t-dimensional affine space over a fixed finite field. The result is also shown for a more general notion of t-space.

Original language	English (US)
Pages (from-to)	363-371
Number of pages	9
Journal	Transactions of the American Mathematical Society
Volume	249
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1979-0525678-7
State	Published - May 1979

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1979-0525678-7

Cite this

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abstract = "A short proof is given of the following known result For all k, r, t there exists n so that if the t-spaces of an t-space are r-colored there exists a fc-space all of whose t-spaces are the same color. Here t-space refers initially to a t-dimensional affine space over a fixed finite field. The result is also shown for a more general notion of t-space.",

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Ramsey’s theorem for spaces

Abstract

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