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

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

1999-01-25

arxiv.org/abs/math/9901106v1

Mathematics

Geometric Topology

17 pages, 16 figures, LaTeX

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Uncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Uncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uncountably many arcs in S^3 whose complements have non-isomorphic, indecomposable fundamental groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-494670