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math.RA2024
Higher-dimensional book-spaces
Charlotte Aten
In 2017, Walter Taylor showed that there exist -dimensional simplicial complexes which admit the structure of topological modular lattice but not topological distributive lattic…
math.RA2021
Orientable triangulable manifolds are essentially quasigroups
Charlotte Aten, Semin Yoo
We introduce an -dimensional analogue of the construction of tessellated surfaces from finite groups first described by Herman and Pakianathan. Our construction is functorial an…
math.RA2019★ 1 cited
Multiplayer Rock-Paper-Scissors
Charlotte Aten
We study a class of algebras we regard as generalized Rock-Paper-Scissors games. We determine when such algebras can exist, show that these algebras generate the varieties generate…