Sequential topologies and Dedekind finite sets

Mathematical Logic Quarterly 68 (1):107-109 (2022)
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Abstract

It is consistent with ZF $\mathsf {ZF}$ set theory that the Euclidean topology on R $\mathbb {R}$ is not sequential, yet every infinite set of reals contains a countably infinite subset. This answers a question of Gutierres.

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10.1002/malq.202100013

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Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.
On sequentially closed subsets of the real line in.Kyriakos Keremedis - 2015 - Mathematical Logic Quarterly 61 (1-2):24-31.

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