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math.GT2003★ 4 cited
The mapping class group of a disk with infinitely many holes
Paul Fabel
A left orderable completely metrizable topological group is exhibited containing Artin's braid group on infinitely many strands. The group is the mapping class group (rel boundary)…
math.GT2002
Isotopies of planar compacta need not extend to isotopies of planar continua
Paul Fabel
We construct an isotopy of a planar compactum that is not the restriction of an isotopy of any planar continuum.
math.GT2002
Completing Artin's braid group on infinitely many strands
Paul Fabel
A generalization of the topological fundamental group is developed in order to exhibit a topologically complete braid group containing Artin's braid group on infinitely many strand…