Constructing maximal cofinitary groups

Published 24 May 2021 in math.LO | (2105.11318v2)

Abstract: Improving and clarifying a construction of Horowitz and Shelah, we show how to construct (in $\textsf{ZF}$, that is, without using the Axiom of Choice) maximal cofinitary groups. Among the groups we construct, one is definable by a formula in second order arithmetic with only a few natural number quantifiers.

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Authors (1)

David Schrittesser

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