Combinatorial moves on ambient isotopic submanifolds in a manifold

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of the Mathematical Society of Japan 2001, Vol.53 (2), p.321-331
Hauptverfasser:	KAMADA, Seiichi, KAWAUCHI, Akio, MATUMOTO, Takao
Format:	Artikel
Sprache:	eng
Schlagworte:	57M25 57Q35 57Q37 57Q45 Combinatorial moves equivalence isotopy knots and links
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Beschreibung
Zusammenfassung:	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.
ISSN:	0025-5645 1881-2333
DOI:	10.2969/jmsj/05320321