Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Quickly unknotting topological spheres


Author: W. R. Brakes
Journal: Proc. Amer. Math. Soc. 72 (1978), 413-416
MSC: Primary 57N35; Secondary 57N50
DOI: https://doi.org/10.1090/S0002-9939-1978-0507349-0
MathSciNet review: 507349
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Locally flat topological sphere and cell pairs of codimension at least three are shown to be unknotted by a simpler method than previously known.


References [Enhancements On Off] (What's this?)

  • [1] W. R. Brakes, k-stability of homeomorphisms of euclidean n-space, Proc. Cambridge Philos. Soc. 75 (1974), 175-183. MR 0334219 (48:12538)
  • [2] M. Brown, A proof of the generalised Schoenflies theorem, Bull. Amer. Math. Soc. 66 (1960), 74-76. MR 0117695 (22:8470b)
  • [3] M. Brown, Locally flat embeddings of topological manifolds, Ann. of Math. 75 (1962), 331-342. MR 0133812 (24:A3637)
  • [4] R. Conelly, A new proof of M. Brown's collaring theorem, Proc. Amer. Math. Soc. 27 (1971), 180-182. MR 0267588 (42:2490)
  • [5] L. C. Glaser and T. M. Price, Unknotting locally flat cell pairs, Illinois J. Math. 10 (1966), 425-430. MR 0196735 (33:4921)
  • [6] H. Gluck, Unknotting $ {S^1}$ in $ {S^4}$, Bull. Amer. Math. Soc. 69 (1963), 91. MR 0142114 (25:5507)
  • [7] R. C. Lacher, Locally flat strings and half-strings, Proc. Amer. Math. Soc. 18 (1967), 299-304. MR 0212805 (35:3670)
  • [8] J. R. Stallings, On topologically unknotted spheres, Ann. of Math. 78 (1963), 490-503. MR 0149458 (26:6946)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57N35, 57N50

Retrieve articles in all journals with MSC: 57N35, 57N50


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0507349-0
Article copyright: © Copyright 1978 American Mathematical Society

American Mathematical Society