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math.LO2025★ 1 cited
The Category Dichotomy for Ideals
Alan Dow, Raul Figueroa-Sierra, Osvaldo Guzmán +1
We provide a counterexample to the Category Dichotomy in the framework of . That is, we prove the existence of an ideal on that is not Katětov below $\mathsf{nwd}…
math.LO2023
Some combinatorial properties of semiselective ideals
Julián C. Cano, Carlos A. Di Prisco, Michael Hrušák
We present several combinatorial properties of semiselective ideals on the set of natural numbers. The continuum hypothesis implies that the complement of every selective ideal con…
math.LO2001
Embeddings into P(N)/fin and extension of automorphisms
A. Bella, A. Dow, K. P. Hart +3
Given a Boolean algebra B and an embedding e:B -> P(N)/fin we consider the possibility of extending each or some automorphism of B to the whole P(N)/fin. Among other things, we sho…