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math.GT2001
n-Quasi-isotopy: II. Comparison
Sergey A. Melikhov, Dusan Repovs
Geometric aspects of the filtration on classical links by k-quasi-isotopy are discussed, including the effect of Whitehead doubling, relations with Smythe's n-splitting and Kobayas…
math.GT2001
n-Quasi-isotopy: I. Questions of nilpotence
Sergey A. Melikhov, Dusan Repovs
It is well-known that no knot can be cancelled in a connected sum with another knot, whereas every link can be cancelled up to link homotopy in a (componentwise) connected sum with…
math.GT2001
On maps with unstable singularities
Sergey A. Melikhov
If a continuous map f: X->Q is approximable arbitrary closely by embeddings X->Q, can some embedding be taken onto f by a pseudo-isotopy? This question, called Isotopic Realization…