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On effective linearly ordered sets of comparison functions
Authors:S A Shkarin
Institution:(1) M. V. Lomonosov Moscow State University, USSR
Abstract:Both the existence and the nonexistence of a linearly ordered (by certain natural order relations) effective set of comparison functions (=dense comparison class) are compatible with the ZFC axioms of set theory. Translated fromMaternaticheskie Zametki, Vol. 67, No. 4, pp. 629–637, April, 2000.
Keywords:entire function  Zermelo-Fraenkel axioms  continuum hypothesis  first category set
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