3 papers
math.LO2025
Tree Properties at Successors of Singulars of Many Cofinalities
William Adkisson
From many supercompact cardinals, we show that it is consistent for the tree property to hold at many small successors of singular cardinals, each with a different cofinality. In p…
math.LO2022
The Strong and Super Tree Property at Successors of Singular Cardinals
William Adkisson
The strong tree property and ITP (also called the super tree property) are generalizations of the tree property that characterize strong compactness and supercompactness up to inac…
math.CO2017
DNA Origami and Unknotted A-trails in Torus Graphs
Ada Morse, William Adkisson, Jessica Greene +4
Motivated by the problem of determining unknotted routes for the scaffolding strand in DNA origami self-assembly, we examine existence and knottedness of A-trails in graphs embedde…