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Borel reductions and cub games in generalised descriptive set theory

Published online by Cambridge University Press:  12 March 2014

Vadim Kulikov
Vadim Kulikov*
Affiliation:
Department of Mathematics and Statistics, Gustav Hällströmin Katu 2B, 00014, University Of Helsinki, Finland
*
Kurt Gödel Research Center for Mathematical Logic, Währinger Straße 25, 1090 Vienna, Austria, E-mail:vadim.kulikov@iki.fi
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Abstract

It is shown that the power set of κ ordered by the subset relation modulo various versions of the non-stationary ideal can be embedded into the partial order of Borel equivalence relations on 2κ under Borel reducibility. Here κ is an uncountable regular cardinal with κ<κ = κ.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 2 , June 2013 , pp. 439 - 458
Copyright
Copyright © Association for Symbolic Logic 2013

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References

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