33 citations · 154 across the 37 of their papers we have counts for
41 papers
Satellites and invariants of links
Sergey A. Melikhov
An invariant of -component links is called "cableable" if there exists a such that whenever a link is obtained from a link by replacing each kno…
A joint logic of problems and propositions
Sergey A. Melikhov
In a 1985 commentary to his collected works, Kolmogorov informed the reader that his 1932 paper 'On the interpretation of intuitionistic logic' "was written in hope that with time,…
Local knots and the prime factorization of links
Sergey A. Melikhov
The present note contains a new proof of Y. Hashizume's 1958 theorem that every non-split link in admits a unique factorization into prime links. While the new proof does not…
Is every knot isotopic to the unknot?
Sergey A. Melikhov
In 1974, D. Rolfsen asked: Is every knot in isotopic (=homotopic through embeddings) to a PL knot or, equivalently, to the unknot? In particular, is the Bing sling isotopic t…
Topological isotopy and finite type invariants
Sergey A. Melikhov
In 1974, D. Rolfsen asked: If two PL links in are isotopic (=homotopic through embeddings), then are they PL isotopic? We prove that they are PL isotopic to another pair of l…
Fine shape II: A Whitehead-type theorem
Sergey A. Melikhov
We prove an "abelian, locally compact" Whitehead theorem in fine shape: A fine shape morphism between locally connected finite-dimensional locally compact separable metrizable spac…