A new Lindelöf topological group

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Abstract

We show that the subsemigroup of the product of ω1-many circles generated by the L-space constructed by J. Moore is again an L-space. This leads to a new example of a Lindelöf topological group. The question whether all finite powers of this group are Lindelöf remains open. © 2010 Elsevier B.V. All rights reserved.

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Repovš, D., & Zdomskyy, L. (2010). A new Lindelöf topological group. Topology and Its Applications, 157(5), 990–996. https://doi.org/10.1016/j.topol.2009.12.014

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