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Prime decompositions of a θn-curve in S3

✍ Scribed by Tomoe Motohashi

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
175 KB
Volume
93
Category
Article
ISSN
0166-8641

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✦ Synopsis

In this paper, we give a complete characterization of the prime decompositions of a θn-curve in S 3 up to homeomorphism.

📜 SIMILAR VOLUMES

A prime decomposition theorem for θn-cur
A prime decomposition theorem for θn-curves in S3
✍ Tomoe Motohashi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 495 KB

We define a prime decomposition for a &-curve by 2-spheres each of which intersects each edge of the f3,, -curve at exactly one point and prove that every nontrivial &-curve can be uniquely decomposed into a finite number of prime &-curves.