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.
Original language | English |
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Pages (from-to) | 31-64 |
Number of pages | 34 |
Journal | Archive for Mathematical Logic |
Volume | 43 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2004 |
Keywords
- Abelian group
- Definable equivalence relation
- Ext
- Generalized descriptive set theory to uncountable cardinals
- Perfect sets of pairwise non equivalence
- Set theory