21 citations · 86 across the 22 of their papers we have counts for
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math.GN2009★ 2 cited
Multiplication is discontinuous in the Hawaiian earring group (with the quotient topology)
Paul Fabel
The natural quotient map q from the space of based loops in the Hawaiian earring onto the fundamental group provides a new example of a quotient map such that q x q fails to be a q…
math.AT2009
Embedding planar compacta in planar continua with application: homotopic maps between planar Peano continua are characterized by the fundamental group homomorphism
Paul Fabel
A planar compactum with connected complement can be an embedded in a cellular continuum by attaching a null sequence of arcs. Two based maps f and g from a planar Peano continuum X…