33 citations · 154 across the 37 of their papers we have counts for
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Singular link concordance implies link homotopy in codimension
Sergey A. Melikhov
We prove the analogue of the Concordance Implies Isotopy in Codimension Theorem for link maps, together with some other its singular analogues. In the case of spherical lin…
A note on O. Frolkina's paper "Pairwise disjoint Moebius bands in space"
Sergey A. Melikhov
We note a simple algebraic proof of Frolkina's result that does not contain uncountably many pairwise disjoint copies of the Möbius band, and of a similar result in h…
Lim colim versus colim lim. I
Sergey A. Melikhov
We study a model situation in which direct limit () and inverse limit () do not commute, and offer some computations of their "commutator". The homology of a se…
Lim colim versus colim lim. II: Derived limits over a pospace
Sergey A. Melikhov
Čech cohomology of a separable metrizable space is defined in terms of cohomology of its nerves (or ANR neighborhoods) whereas Steenrod-Sitnikov homology $H_n(X)…
Algebraic topology of Polish spaces. II: Axiomatic homology
Sergey A. Melikhov
Milnor proved two uniqueness theorems for axiomatic (co)homology: one for pairs of compacta (1960) and another, in particular, for pairs of countable simplicial complexes (1961). W…
Fine shape I
Sergey A. Melikhov
We introduce and develop fine shape, which has a very simple definition and aims to supersede all previously known shape theories for metrizable spaces. The problem with known shap…