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Tim Campion
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If $G$ is a paracompact topological group, then is $G \times G$ paracompact?

If $G$ is a paracompact topological group, then is $G \times G$ paracompact?

This question is raised by Gepner and Henriques (first paragraph of 2.2). Of course, this is not true for arbitrary paracompact spaces, as shown by the Sorgenfrey plane.

Actually -- what's an example of a non-paracompact group?

Tim Campion
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