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Monotone subsequence via ultrapower
Published 1 Mar 2018 in math.CA and math.LO | (1803.00312v1)
Abstract: An ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels, as argued by Terence Tao. We apply it here to the solution of a calculus problem: every infinite sequence has a monotone infinite subsequence, and give other applications. Keywords: ordered structures; monotone subsequence; ultrapower; saturation; compactness
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