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A prime decomposition theorem for θn-curves in S3

✍ Scribed by Tomoe Motohashi


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
495 KB
Volume
83
Category
Article
ISSN
0166-8641

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✦ Synopsis


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.


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Prime decompositions of a θn-curve in S3
✍ Tomoe Motohashi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 175 KB

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

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