Uncountably many arcs in S3 whose complements have non-isomorphic, indecomposable fundamental groups
Robert Myers
Abstract
An uncountable collection of arcs in S3 is constructed, each member of which is wild precisely at its endpoints, such that the fundamental groups of their complements are non-trivial, pairwise non-isomorphic, and indecomposable with respect to free products. The fundamental group of the complement of a certain Fox-Artin arc is also shown to be indecomposable.
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