Pacific Journal of Mathematics

Wild arcs in three-space. I. Families of Fox-Artin arcs.

James M. McPherson
Source: Pacific J. Math. Volume 45, Number 2 (1973), 585-598.
First Page: Show Hide

Related Works:

Primary Subjects: 57A10
Secondary Subjects: 55A30
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102947540
Zentralblatt MATH identifier: 0253.55002
Zentralblatt MATH identifier: 0221.55003
Mathematical Reviews number (MathSciNet): MR0343276

References

[1] W. R.Alford andB.J. Ball, Some almost polyhedral wild arcs, Duke Math. J., 30 (1963), 33-38.
Mathematical Reviews (MathSciNet): MR26:1858
Zentralblatt MATH: 0113.38003
[2] R.H.Fox, Some problems in knot theory, in TOPOLOGY OF3-MANIFOLDS,ed. M. K. Fort, Jr., Prentice Hall, Englewood Cliffs, N.J. 1962.
Mathematical Reviews (MathSciNet): MR25:3523
[3] R.H.FoxandE. Artin, Some wild cells and spheres in three-dimensionalspace, Ann. Math., (2)49 (1948), 979-990.
Mathematical Reviews (MathSciNet): MR10:317g
Zentralblatt MATH: 0033.13602
[4] R.H.Foxand0. G.Harrold, TheWilder arcs, inTOPOLOGY OF3-MANIFOLDS, ed. M. K. Fort, Jr., Prentice Hall, Englewood Cliffs, N.J. 1962.
[5] C.H.Giffen, Uncountably many inequivalent nearly tame arcs, Abstract 607-19, Notices Amer. Math. Math. Soc,10 (1963), 666-667.
[6] Y. Hashizume, Onthe uniqueness of the decomposition of a link, Osaka Math. J.,
Mathematical Reviews (MathSciNet): MR21:1607
Zentralblatt MATH: 0106.16704
[7] R. Holmes and N. Smythe, Algebraic invariants of isotopy of links, Amer. J. Math., 88 (1966), 646-654.
Mathematical Reviews (MathSciNet): MR34:807
Zentralblatt MATH: 0145.20404
[8] S. J. Lomonaco, An algebraic theory of local knottedness, I, Trans. Amer. Math. Soc. 129 (1967), 322-343.
Mathematical Reviews (MathSciNet): MR36:877
Zentralblatt MATH: 0156.22102
[9] J. McPherson, Wild knots and arcs in a ^-manifold,University of New South Wales Ph. D. thesis, 1970.
Zentralblatt MATH: 0283.55002
[10] J. McPherson, A sufficient condition for an arc to be nearly polyhedral, Proc. Amer. Math. Soc, 28 (1971), 229-233. 11.1A familyof non-invertibleprime links, Bull. Austral. Math. Soc, 4 (1971), 105-108, Corrigendum 5 (1971), 141-143.
Mathematical Reviews (MathSciNet): MR42:8474
Zentralblatt MATH: 0212.55401
[12] C. D. Sikkema, A duality between certain spheres and arcs in S3, Trans. Amer. Math. Soc, 122 (1966), 399-415.
Mathematical Reviews (MathSciNet): MR33:7991
Zentralblatt MATH: 0138.18904
[13] C. D. Sikkema, S. Kinoshita, and S. J. Lomonaco, Uncountably manyquasi-trans- lations of Sz, manuscript.
[14] N. Smythe, Topological invariants of isotopy of links, I, Amer. J. Math., 92 (1970), 86-98.
Mathematical Reviews (MathSciNet): MR41:7671
Zentralblatt MATH: 0196.27101

2013 © Pacific Journal of Mathematics

Pacific Journal of Mathematics

Pacific Journal of Mathematics

Turn MathJax Off
What is MathJax?