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math.AT2017★ 1 cited
Fiber Strong Shape Theory for Topological Spaces
Vladimer Baladze, Ruslan Tsinaridze
In the paper we construct and develop a fiber strong shape theory for arbitrary spaces over fixed metrizable space $\Bo$. Our approach is based on the method of Mardešić-Lisica and…
math.AT2017
Čech border homology and cohomology groups and some applications
Vladimer Baladze
In the paper the Čech border homology and cohomology groups of closed pairs of normal spaces are constructed and investigated. These groups give intrinsic characterizations of Čech…
math.AT2017
Strong Homology Theory of Continuous Maps
Anzor Beridze, Vladimer Baladze
The current work is motivated by the papers , , , . In particular, using Theorem 3.7 of and methods developed in this paper, the spectral and s…