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math.CO2023
A Ramsey-type phenomenon in two and three dimensional simplices
Sumun Iyer
We develop a Ramsey-like theorem for subsets of the two and three-dimensional simplex. A generalization of the combinatorial theorem presented here to all dimensions would produce…
math.DS2023
Direct limits of large orbits and the Knaster continuum homeomorphism group
Sumun Iyer
The main result is that the group of homeomorphisms of the universal Knaster continuum contains an open subgroup with a comeager conjugacy class. Actually, thi…