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Some questions on entangled linear orders
Raphaël Carroy, Maxwell Levine, Lorenzo Notaro
Entangled linear orders were first introduced by Abraham and Shelah. Todorčević showed that these linear orders exist under . We prove the following results: (1) If $\…
math.LO2025
Ladders and Squares
Lorenzo Notaro
In 1984, Ditor asked two questions: (1) For each and infinite cardinal , is there a join-semilattice of breadth and cardinality whose principal ideals hav…
math.LO2025
Constructibility real degrees in the side-by-side Sacks model
Lorenzo Notaro
We study the join-semilattice of constructibility real degrees in the side-by-side Sacks model, the model of set theory obtained by forcing with a countable-support product of infi…