On the sequential topological complexity of group homomorphisms
Kuanyshov N.
15 October 2024Elsevier B.V.
Topology and its Applications
2024#356
We define and develop a homotopy invariant notion for the sequential topological complexity of a map f:X→Y, denoted TCr(f), that interacts with TCr(X) and TCr(Y) in the same way Jamie Scotts topological complexity map TC(f) interacts with TC(X) and TC(Y). Furthermore, we apply TCr(f) to studying group homomorphisms ϕ:Γ→Λ. In addition, we give the characterization of cohomological dimension of group homomorphisms.
Cohomological dimension , Group homomorphism , Lusternik-Schnirelmann category , Schwartz genus , The sequential topological complexity
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Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, 32611-8105, FL, United States
Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010, Kazakhstan
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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