Coloring ordinals by reals
Logic
2016-09-07 v1
Abstract
We introduce several new set-theoretic axioms formulated in terms of coloring of ordinals by reals. We show that these axioms generalize the axioms considered by I.Juhasz, L.Soukup and Z.Szentmiklossy, and give a class of p.o.s including Cohen p.o.-sets which force the axioms. In appearance these axioms are somewhat similar to OCA but it appears that they are inconsistent with OCA.
Cite
@article{arxiv.math/9702209,
title = {Coloring ordinals by reals},
author = {Sakae Fuchino},
journal= {arXiv preprint arXiv:math/9702209},
year = {2016}
}