On ‐complete equivalence relations on the generalized Baire space |
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| Authors: | Tapani Hyttinen Vadim Kulikov |
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| Institution: | 1. University of Helsinki, Department of Mathematics and Statistics, Helsinki, Finland;2. Kurt G?del Research Center, Universit?t Wien, Vienna, Austria |
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| Abstract: | Working with uncountable structures of fixed cardinality, we investigate the complexity of certain equivalence relations and show that if  , then many of them are  ‐complete, in particular the isomorphism relation of dense linear orders. Then we show that it is undecidable in  whether or not the isomorphism relation of a certain well behaved theory (stable, NDOP, NOTOP) is  ‐complete (it is, if  , but can be forced not to be). |
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