Open Access
April, 2001 Combinatorial moves on ambient isotopic submanifolds in a manifold
Seiichi KAMADA, Akio KAWAUCHI, Takao MATUMOTO
J. Math. Soc. Japan 53(2): 321-331 (April, 2001). DOI: 10.2969/jmsj/05320321

Abstract

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.

Citation

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Seiichi KAMADA. Akio KAWAUCHI. Takao MATUMOTO. "Combinatorial moves on ambient isotopic submanifolds in a manifold." J. Math. Soc. Japan 53 (2) 321 - 331, April, 2001. https://doi.org/10.2969/jmsj/05320321

Information

Published: April, 2001
First available in Project Euclid: 9 June 2008

zbMATH: 0984.57016
MathSciNet: MR1815137
Digital Object Identifier: 10.2969/jmsj/05320321

Subjects:
Primary: 57Q45
Secondary: 57M25 , 57Q35 , 57Q37

Keywords: Combinatorial moves , equivalence , isotopy , knots and links

Rights: Copyright © 2001 Mathematical Society of Japan

Vol.53 • No. 2 • April, 2001
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