Uncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups

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dc.creatorMyers, Robert
dc.date1999-01-25
dc.date.accessioned2026-07-07T05:27:38Z
dc.date.available2026-07-07T05:27:38Z
dc.descriptionAn uncountable collection of arcs in S^3 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.
dc.description17 pages, 16 figures, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9901106
dc.identifierhttp://arxiv.org/abs/math/9901106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77995
dc.subjectGeometric Topology
dc.subject57M30 (Primary) 57N10 (Secondary)
dc.titleUncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups
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