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A brief remark on van der Waerden spaces |
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| Authors: | Albin L. Jones |
| Affiliation: | Department of Mathematics, University of Kansas, Lawrence, Kansas 66045-2142 |
| Abstract: | We demonstrate that Martin's axiom for  -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. |
| Keywords: | General topology continuum hypothesis Martin's axiom van der Waerden space Hindman space arithmetic sequence convergent sequence |
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