9 citations · 26 across the 15 of their papers we have counts for
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math.LO2017★ 1 cited
Invariant universality for quandles and fields
Andrew D. Brooke-Taylor, Filippo Calderoni, Sheila K. Miller
We show that the embeddability relations for countable quandles and for countable fields of any given characteristic other than 2 are maximally complex in a strong sense: they are…
math.LO2017★ 1 cited
The complexity of the embeddability relation between torsion-free abelian groups of uncountable size
Filippo Calderoni
We prove that for every uncountable cardinal such that , the quasi-order of embeddability on the -space of -sized graphs Borel reduces to the embeddability on t…
math.LO2017★ 4 cited
Universality of group embeddability
Filippo Calderoni, Luca Motto Ros
Working in the framework of Borel reducibility, we study various notions of embeddability between groups. We prove that the embeddability between countable groups, the topological…