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annulus conjecture |
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annulus conjecture [′an·yə·ləs kən′jek·chər]
(mathematics) For dimensionn,the assertion that iffandgare locally flat embeddings of the (n- 1) sphere,Sn- 1, in realnspace,Rn, withf(Sn- 1) in the bounded component ofRn-g(Sn- 1), then the closed region inRnbounded byf(Sn- 1) andg(Sn- 1) is homeomorphic to the direct product ofSn- 1and the closed interval [0,1]; it is established forn≠ 4. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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