16 citations · 16 across the 1 of their papers we have counts for
5 papers
Sphere eversions and realization of mappings
Sergey A. Melikhov
P. M. Akhmetiev used a controlled version of the stable Hopf invariant to show that any (continuous) map N -> M between stably parallelizable compact n-manifolds, n\ne 1,2,3,7, is…
n-quasi-isotopy: III. Engel conditions
Sergey A. Melikhov, Roman V. Mikhailov
In part I it was shown that for each k>0 the generalized Sato-Levine invariant detects a gap between k-quasi-isotopy of link and peripheral structure preserving isomorphism of the…
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…
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…
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…