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math.GT2023
Diagram Systems and Generalized Finite Type Theories
Cole Hugelmeyer
We present a category theoretical generalization of the Goussarov theorem for finite type invariants, relating generating sets for generalized finite type theories with diagrams sy…
math.MG2023
Inscribed Squares and Relation Avoiding Paths
Cole Hugelmeyer
We develop a connection between the inscribed square problem and the question of understanding relation avoiding paths in a complex vector space. Our main theorem is that a Jordan…