Knotted sphere
From Encyclopedia of Mathematics
A non-trivial two-dimensional knot in the 
-dimensional Euclidean space 
; a sphere 
which cannot be obtained by rotation in 
of a knotted arc 
situated in the half-space 
around the plane bounding the half-space. The fundamental group 
of a knotted sphere is not a knot group (cf. Knot and link groups).
References
| [1] | R.H. Crowell, R.H. Fox, "Introduction to knot theory" , Ginn (1963) |
How to Cite This Entry:
Knotted sphere. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Knotted_sphere&oldid=12342
Knotted sphere. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Knotted_sphere&oldid=12342
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article