arXiv math/05021482005-02math.GNmath.GT

The Hawaiian earring group is topologically incomplete

Paul Fabel

备注：: Introduction and abstract rewritten. 9 pages

英文摘要：

The premier exhibition of the following phenomenon: The fundamental group of any Peano continuum constructed in similar fashion to the Hawaiian earring admits two natural distinct topological group structures. However despite being uncountable and regular, neither group is a Baire space and hence neither group admits a compatible complete metric.

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