Combinatorial moves on ambient isotopic submanifolds in a manifold

Seiichi KAMADA; Takao MATUMOTO; Akio KAWAUCHI

doi:10.2969/jmsj/05320321

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Combinatorial moves on ambient isotopic submanifolds in a manifold

Seiichi KAMADA, Takao MATUMOTO, Akio KAWAUCHI

著者情報

キーワード: Combinatorial moves, knots and links, equivalence, isotopy

ジャーナルフリー

2001 年 53 巻 2 号 p. 321-331

DOI https://doi.org/10.2969/jmsj/05320321

詳細

抄録

In knot theory, it is well-known that two links in the Euclidean 3-space are ambient isotopic if and only if they are related by a finite number of combinatorial moves along 2-simplices. This fact is generalized for submanifolds in a manifold whose codimensions are positive.