A brief remark on van der Waerden spaces

Jones, Albin

doi:10.1090/S0002-9939-04-07351-4

A brief remark on van der Waerden spaces
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by Albin L. Jones PDF

Proc. Amer. Math. Soc. 132 (2004), 2457-2460

Abstract:

We demonstrate that Martin’s axiom for $\sigma$-centered notions of forcing implies the existence of a van der Waerden space that is not a Hindman space. Our proof is an adaptation of the one given by M. Kojman and S. Shelah that such a space exists if one assumes the continuum hypothesis to be true.

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