3 papers
math.DS2026
A rock-paper-scissors Mandelbrot set
Charlotte Aten
The titular object of this paper is an analogue of the Mandelbrot set over the 3-dimensional real algebra whose multiplication is the bilinear extension of the rock-paper-scissors…
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.RA2019
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…