On the $n$-parameter concordance and isotopy theorem
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- by Tadatoshi Akiba PDF
- Proc. Amer. Math. Soc. 61 (1976), 122-130 Request permission
Abstract:
J. F. P. Hudson [4] proved that “concordance” implies “isotopy". In this paper we show that the $n$-parameter version of Hudson’s result cannot be true without some restrictions. Assuming Millett’s result [6], we can determine a specific dimension where the $n$-parameter version fails. We rely on Kan fibrations and geometric techniques such as the Alexander trick.References
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- J. F. P. Hudson, Concordance, isotopy, and diffeotopy, Ann. of Math. (2) 91 (1970), 425–448. MR 259920, DOI 10.2307/1970632
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- Kenneth C. Millett, Piecewise linear concordances and isotopies, Memoirs of the American Mathematical Society, No. 153, American Mathematical Society, Providence, R.I., 1974. MR 0365585
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 122-130
- MSC: Primary 57C35
- DOI: https://doi.org/10.1090/S0002-9939-1976-0433463-2
- MathSciNet review: 0433463