2YING-QINGWUTheorem1.LetK:S1!R3beasmoothknot,andletx02Kbeaxedbasepoin - PDF document

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2YING-QINGWUTheorem1.LetK:S1!R3beasmoothknot,andletx02Kbeaxedbasepoin - PPT Presentation

t0fortt0inJbthereexist0a0a1an1inJsuchthatdai1aifori1n1andcifdaitforsomei1n2andt201thentai1ProofaSinceKissmoothk00k00 ID: 297395

@t0fortt0inJ;(b)thereexist0=a0a1an1inJ suchthatd(ai1;ai)=fori=1;:::;n1;and(c)ifd(ai;t)=forsomei=1;:::;n2andt2[0;1) thent=ai1.Proof.(a)SinceKissmooth k0(0)k0(0)

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