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On nice equivalence relations on λ2

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Abstract.

Let E be an equivalence relation on the powerset of an uncountable set, which is reasonably definable. We assume that any two subsets with symmetric difference of size exactly 1 are not equivalent. We investigate whether for E there are many pairwise non equivalent sets.

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Authors and Affiliations

  1. Institute of Mathematics, Mathematics Department, The Hebrew University, Israel and Rutgers University, Jerusalem, New Brunswick, NJ, USA

    Saharon Shelah

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  1. Saharon Shelah
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Correspondence to Saharon Shelah.

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I would like to thank Alice Leonhardt for the beautiful typing.

This research was supported by The Israel Science Foundation. Publication 724.

Mathematics Subject Classification (2000): 03E47, 03E35; 20K20, 20K35

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Shelah, S. On nice equivalence relations on λ2. Arch. Math. Logic 43, 31–64 (2004). https://doi.org/10.1007/s00153-003-0183-1

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