The knaster problem: More counterexamples

Author:

Hinrichs Aicke,Richter Christian

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference17 articles.

1. I. K. Babenko and S. A. Bogatyi,Mapping a sphere into Euclidean space, Mathematical Notes46 (1989), no. 3–4, 683–686 (1990) (Russian original in Matematicheskie Zametki46 (1989), no. 3, 3–8).

2. K. Borsuk,Drei Sätze über die n-dimensionale euklidische Sphäre (German)[Three theorems on the n-dimensional Euclidean sphere], Fundamenta Mathematicae20 (1933), 177–190.

3. W. Chen,Counterexamples to Knaster’s conjecture, Topology37 (1998), 401–405.

4. E. E. Floyd,Real-valued mappings of spheres, Proceedings of the American Mathematical Society6 (1955), 957–959.

5. R. H. Hardin, N. J. A. Sloane and W. D. Smith,Spherical codes, in preparation (for coverings of $$\mathbb{S}^2 $$ Spherical coverings. A library of putatively optimal coverings of the sphere with n equal caps at http://www.research.att.com/~njas/coverings/index.html, for the particular code of 22 points on $$\mathbb{S}^2 $$ see http://www.research.att.com/~njas/coverings/dim3/cover.3.22.txt).

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4. Knaster's problem for almost (Zp)k-orbits;Topology and its Applications;2010-04

5. Knaster’s Problem for (Z 2) k -Symmetric Subsets of the Sphere $S^{2^{k}-1}$;Discrete & Computational Geometry;2009-08-01

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