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Submaximal properties in (strongly) topological gyrogroups (2011.04912v1)
Published 9 Nov 2020 in math.GN and math.GR
Abstract: A space $X$ is submaximal if any dense subset of $X$ is open. In this paper, we prove that every submaximal topological gyrogroup of non-measurable cardinality is strongly $\sigma$-discrete. Moreover, we prove that every submaximal strongly topological gyrogroup of non-measurable cardinality is hereditarily paracompact.
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