Construction by Isotopy. II
نویسندگان
چکیده
منابع مشابه
n - QUASI - ISOTOPY : II . COMPARISON
SERGEY A. MELIKHOV and DUŠAN REPOVŠ ABSTRACT We prove that k-quasi-isotopy implies (k + 1)-cobordism of Cochran–Orr, leading to k-quasi-isotopy invariance of Cochran's derived invariants β i , i ≤ k, and Milnor's ¯ µ-invariants of length ≤ 2k + 3. Secondly, k-quasi-isotopic links cannot be distinguished by any Vassiliev invariant of type ≤ k which is well-defined up to PL isotopy, where type ≤ ...
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Geometric aspects of the filtration on classical links by k-quasi-isotopy are discussed, including the effect of Whitehead doubling and relations with Smythe's n-splitting and Kobayashi's k-contractibility. One observation is: ω-quasi-isotopy is equivalent to PL isotopy for links in a homotopy 3-sphere (resp. contractible open 3-manifold) M if and only if M is homeomorphic to S 3 (resp. R 3). A...
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It is of increasing contemporary interest to preserve ambient isotopy during geometric modeling. Bézier curves are pervasive in computer aided geometric design, as one of the fundamental computational representations for geometric modeling. For Bézier curves, subdivision algorithms create control polygons as piecewise linear (PL) approximations that converge under Hausdorff distance. A natural ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1990
ISSN: 0002-9947
DOI: 10.2307/2001489