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.
Mathematics72(2024), 97–102
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Hindman and Owings-like theorems without the Axiom of Choice
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.