Uncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups
Geometric Topology
2007-05-23 v1
Abstract
An 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.
Cite
@article{arxiv.math/9901106,
title = {Uncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups},
author = {Robert Myers},
journal= {arXiv preprint arXiv:math/9901106},
year = {2007}
}
Comments
17 pages, 16 figures, LaTeX