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Your search keyword '"A. B. Sosinskiĭ"' showing total 2 results
Start Over Author "A. B. Sosinskiĭ" Topic combinatorics
2 results on '"A. B. Sosinskiĭ"'

1. 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

2. 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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