3 papers
math.GN2004
Nonexistence of linear operators extending Lipschitz (pseudo)metrics
Michael Zarichnyi
We provide an example of a zero-dimensional compact metric space and its closed subspace such that there is no continuous linear extension operator for the Lipschitz pseudo…
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…