8 citations · 20 across the 15 of their papers we have counts for
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Combinatorics of reductions between equivalence relations
Dan Hathaway, Scott Schneider
We discuss combinatorial conditions for the existence of various types of reductions between equivalence relations, and in particular identify necessary and sufficient conditions f…
Weak Distributivity Implying Distributivity
Dan Hathaway
Let be a complete Boolean algebra. We show, as an application of a previous result of the author, that if is an infinite cardinal and is weakly $(λ^ω,…
Disjoint Borel Functions
Dan Hathaway
For each , we define a Borel function which encodes in a certain sense. We show that for each Borel $g : \mathbb{R} \to \mat…
A Lower Bound for Generalized Dominating Numbers
Dan Hathaway
We show a new proof for the fact that when and are infinite cardinals satisfying , the cofinality of the set of all functions from to ordered by everywhere…