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Your search keyword '"A. B. Sosinskiĭ"' showing total 4 results
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4 results on '"A. B. Sosinskiĭ"'

1. Eleven Papers on Topology

Author

A. V. Arhangel′skiĭ, P. K. Belobrov, A. V. Černavskiĭ, A. S. Grek, S. D. Liao, F. I. Šmidov, A. B. Sosinskiĭ, N. V. Veličko, Wu Wen-jun, A. V. Arhangel′skiĭ, P. K. Belobrov, A. V. Černavskiĭ, A. S. Grek, S. D. Liao, F. I. Šmidov, A. B. Sosinskiĭ, N. V. Veličko, and Wu Wen-jun

Published
2016

2. DECOMPOSITION OF KNOTS

Author

A B Sosinskiĭ

Subjects
Piecewise linear function, Combinatorics, Knot (unit), General Mathematics, Skein relation, Piecewise linear manifold, Codimension, Indecomposable module, Mathematics::Geometric Topology, Connected sum, Mathematics, Knot theory
Abstract

Every knot of codimension 2 (smooth, piecewise linear or locally flat) is proved to decompose into a connected sum of a finite number of indecomposable knots. Bibliography: 15 titles.

Published
1970

4. THE HOMOLOGY OF A SYMMETRIC RELATION

Author

A B Sosinskiĭ

Subjects
Homotopy category, General Mathematics, Cellular homology, Concrete category, Mathematics::Algebraic Topology, Symmetric closure, Combinatorics, Symmetric relation, Mathematics::K-Theory and Homology, Mathematics::Category Theory, Simplicial set, Eilenberg–Steenrod axioms, Singular homology, Mathematics
Abstract

A homology theory is presented for the category of sets with a given reflexive and symmetric relation. There is defined in this category the notion of homotopy equivalence; the theory satisfies the analogs of the Eilenberg-Steenrod axioms and yields a theorem on almost fixed points. Bibliography: 7 items.

Published
1972

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