GROUPS OF LOCALLY-FLAT DISK KNOTS AND NON-LOCALLY-FLAT SPHERE KNOTS
نویسندگان
چکیده
منابع مشابه
Groups of locally-flat disk knots and non-locally-flat sphere knots
The classical knot groups are the fundamental groups of the complements of smooth or piecewise-linear (PL) locally-flat knots. For PL knots that are not locally-flat, there is a pair of interesting groups to study: the fundamental group of the knot complement and that of the complement of the “boundary knot” that occurs around the singular set, the set of points at which the embedding is not lo...
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2 2 Abstract. We consider a locally flat 2-sphere in S x S representing a primi2 2 tive homology class £ , which is referred to as a 2-knot in S x S representing 2 2 (J . Then for any given primitive class ¿ , there exists a 2-knot in S x S representing { with simply-connected complement. In this paper, we consider the 2 2 classification of 2-knots in S x S whose complements have a fixed fundam...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2005
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216505003786