Title: Combinatorial properties and Dependent Choice in models where the Axiom of Choice fails

Amitayu Banerjee
Department of Logic, Institute of Philosophy, Eötvös Loránd University, Múzeum krt. 4/i Budapest, H-1088 Hungary
banerjee.amitayu@gmail.com

Key words and phrases: Locally countable connected graphs, Variants of Chain/Antichain principle, Instances of Dependent choice, Fraenkel-Mostowski (FM) permutation models of ZFA+$\neg AC$