arXiv:1706.00830 Abstract | arXiv Analytics

arXiv:1706.00830 [math.LO]Abstract References Reviews Resources

A parametrized diamond principle and union ultrafilters

Published 2017-06-02Version 1

We consider a cardinal invariant closely related to Hindman's theorem. We prove that this cardinal invariant is small in the iterated Sacks perfect set forcing model, and that its corresponding parametrized diamond principle implies the existence of union ultrafilters. As a corollary, this establishes the existence of union ultrafilters in the iterated Sacks model of Set Theory.

Comments: 9 pages

Categories: math.LO

Subjects: 03E35, 03E65, 03E17, 54D80

Keywords: union ultrafilters, cardinal invariant, sacks perfect set forcing model, corresponding parametrized diamond principle implies

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