144 citations
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Showing 2005 · math.GNShow all
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math.GN2005★ 5 cited
The Hawaiian earring group is topologically incomplete
Paul Fabel
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…
math.GN2005★ 4 cited
A characterization of spaces with discrete topological fundamental group
Paul Fabel
We offer a counterexample to a theorem in the literature and then repair the theorem as follows: The fundamental group of a locally path connected metric space inherits the discret…