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math.CO2018
A nonstandard take on central sets
Isaac Goldbring
We present the basic theory of central subsets of semigroups from the nonstandard perspective. A key feature of this perspective is the replacement of the algebra of ultrafilters w…
math.CO2018
On supra-SIM sets of natural numbers
Isaac Goldbring, Steven Leth
We introduce the class of supra-SIM sets of natural numbers. We prove that this class is partition regular and closed under finite-embeddability. We also prove some results on sums…