21 citations · 86 across the 22 of their papers we have counts for
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…
math.GN2005★ 16 cited
The topological Hawaiian earring group does not embed in the inverse limit of free groups
Paul Fabel
Endowed with natural topologies, the fundamental group of the Hawaiian earring continuously injects into the inverse limit of free groups. This note shows the injection fails to ha…