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Search name	Searched On	Run search
Keyword: Wave Equations (23)	2 Apr 2025	Run
Keyword: Killing Vector (4)	2 Apr 2025	Run
Keyword: Kummer Surface (1)	2 Apr 2025	Run
Keyword: Gas Adsorption (11)	2 Apr 2025	Run

articleNo Access
THE PROJECTIONS OF n-KNOTS WHICH ARE NOT THE PROJECTION OF ANY UNKNOTTED KNOT
- Eiji Ogasa
Journal of Knot Theory and Its Ramifications01 Feb 2001
Preview Abstract
Let n be any integer greater than two. We prove that there exists a projection P having the following properties. (1) P is not the projection of any unknotted knot. (2) The singular point set of P consists of double points. (3) P is the projection of an n-knot which is diffeomorphic to the standard sphere.
We prove there exists an immersed n-sphere (⊂ℝⁿ⁺¹×{0}) which is not the projection of any n-knot (n>2). Note that the second theorem is different from the first one.

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