4 citations · 6 across the 8 of their papers we have counts for
4 papers · 2 filters
Local reflections of choice
Calliope Ryan-Smith
Under the assumption of small violations of choice with seed (), the failure of many choice principles reflect to to local properties of , which can be a he…
Proper classes of maximal -independent families from large cardinals
Calliope Ryan-Smith
While maximal independent families can be constructed from ZFC via Zorn's lemma, the presence of a maximal -independent family already gives an inner model with a measurable car…
Upwards homogeneity in iterated symmetric extensions
Calliope Ryan-Smith, Jonathan Schilhan, Yujun Wei
It is sometimes desirable in choiceless constructions of set theory that one iteratively extends some ground model without adding new sets of ordinals after the first extension. Pu…
String Dimension: VC Dimension for Infinite Shattering
Calliope Ryan-Smith
In computer science, combinatorics, and model theory, the VC dimension is a central notion underlying far-reaching topics such as error rate for decision rules, combinatorial measu…