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arxiv: math/9702209 · v1 · pith:Z6LASOPLnew · submitted 1997-02-26 · 🧮 math.LO

Coloring ordinals by reals

classification 🧮 math.LO
keywords axiomscoloringordinalsrealsappearanceappearsclasscohen
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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.

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