A new Lindelof topological group

Mathematics – General Topology

Scientific paper

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Scientific paper

10.1016/j.topol.2009.12.014

We show that the subsemigroup of the product of w_1-many circles generated by
the L-space constructed by J. Moore is again an L-space. This leads to a new
example of a Lindelof topological group. The question whether all finite powers
of this group are Lindelof remains open.

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