An improved version of the noncompact weak canonical Schoenflies theorem
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- by W. R. Brakes
- Trans. Amer. Math. Soc. 213 (1975), 61-69
- DOI: https://doi.org/10.1090/S0002-9947-1975-0391103-9
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Abstract:
The main result of this paper is that any proper collared embedding of ${R^{n - 1}}$ in ${R^n}$ can be extended to a homeomorphism of ${R^n}$ such that the extension depends continuously on the original embedding in a stronger sense than previously known. Analogous results are proved for proper embeddings of ${R^k}$ in ${R^n}$ (with the usual homotopy conditions when $k = n - 2$). An alternative proof of the usual compact form of the weak canonical Schoenflies theorem is also obtained.References
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Bibliographic Information
- © Copyright 1975 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 213 (1975), 61-69
- MSC: Primary 57A35
- DOI: https://doi.org/10.1090/S0002-9947-1975-0391103-9
- MathSciNet review: 0391103