TY - JOUR

T1 - Determinateness and partitions

AU - Prikry, Karel

N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1976/1

Y1 - 1976/1

N2 - It is proved that the axiom of determinateness of Mycielski and Steinhaus for games in which players alternate in writing reals implies that ω → (ω)ω2 (i-e. for every partition of infinite sets of natural numbers into two classes there is an infinite set such that all its infinite subsets belong to the same class).

AB - It is proved that the axiom of determinateness of Mycielski and Steinhaus for games in which players alternate in writing reals implies that ω → (ω)ω2 (i-e. for every partition of infinite sets of natural numbers into two classes there is an infinite set such that all its infinite subsets belong to the same class).

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U2 - 10.1090/S0002-9939-1976-0453540-X

DO - 10.1090/S0002-9939-1976-0453540-X

M3 - Article

AN - SCOPUS:84966234895

VL - 54

SP - 303

EP - 306

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -