Any smooth knot $\mathbb{S}^{n}\hookrightarrow\mathbb{R}^{n+2}$ is isotopic to a cubic knot contained in the canonical scaffolding of ℝ n+2-Reference-Cited by-同舟云学术

Any smooth knot $\mathbb{S}^{n}\hookrightarrow\mathbb{R}^{n+2}$ is isotopic to a cubic knot contained in the canonical scaffolding of ℝ n+2

Published:2010-04-23 Issue:1 Volume:24 Page:1-13
ISSN:1139-1138
Container-title:Revista Matemática Complutense
language:en
Short-container-title:Rev Mat Complut

Author:

Boege Margareta,Hinojosa Gabriela,Verjovsky Alberto

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s13163-010-0037-4.pdf

Reference15 articles.

1. Boege, M., Hinojosa, G., Verjovsky, A.: Wild knots in higher dimensions as limit sets of Kleinian groups. Conform. Geom. Dyn. 13, 197–216 (2009)

2. Cairns, S.: A simple triangulation method for smooth manifolds. Bull. Am. Math. Soc. 67, 389–390 (1961)

3. Černavskiǐ, A.V.: Isotopies in Euclidean spaces. Usp. Mat. Nauk 19(120)(6), 71–73 (1964) (in Russian)

4. Dolbilin, N.P., Shtan ko, M.A., Shtogrin, M.I.: Cubic manifolds in lattices. Izv. Ross. Akad. Nauk Ser. Mat. 58(2), 93–107 (1994). Translation in Russ. Acad. Sci. Izv. Math. 44(2), 301–313 (1995)

5. Fenn, R., Rourke, C., Sanderson, B.: James Bundles and Applications (1996). http://www.maths.warwick.ac.uk/cpr/ftp/james.ps

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