Hindman and Owings-like theorems without the Axiom of Choice

José A. Guzmán-Vega, David J. Fernández Bretón, Eliseo Sarmiento Rosales

We investigate Hindman- and Owings-type Ramsey-theoretic statements in Zermelo-Fraenkel set theory without the Axiom of Choice, with some occasional extra assumptions (such as the…