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Zhang,Monochromatic sumset without the use of large cardinals, Fundamenta Mathemat- icae250(2020), 243–252

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Hindman and Owings-like theorems without the Axiom of Choice

math.LO · 2026-03-28 · unverdicted · novelty 7.0 · 2 refs

In ZF, uncountable Hindman theorems fail for additive R and uncountable-dim Q-vector spaces (under DC if non-well-orderable); Owings configurations admit positive results under AD.

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  • Hindman and Owings-like theorems without the Axiom of Choice math.LO · 2026-03-28 · unverdicted · none · ref 24 · 2 links

    In ZF, uncountable Hindman theorems fail for additive R and uncountable-dim Q-vector spaces (under DC if non-well-orderable); Owings configurations admit positive results under AD.