2 citations · 3 across the 6 of their papers we have counts for
6 papers
On Axiomatic Characterization of Alexander-Spanier Normal Homology Theory of General Topological Spaces
Vladimer Baladze, Anzor Beridze, Leonard Mdzinarishvili
The Alexandroff-Čech normal cohomology theory [Mor], [Bar], [Ba],[Ba] is the unique continuous extension \cite{Wat} of the additive cohomology theory [Mil], [Ber-Mdz$_1…
Strong Shape Theory of Continuous Maps
V. Baladze, A. Beridze, R. Tsinaridze
The work is motivated by the papers [Ba1], [Ba2], [Ba7], [Ba11], [Be] and [Be-Tu]. In particular, the strong homology groups of continuous maps were defined and studied in [Be] and…
On (Co)homological Properties of Stone-Cech Compactifications of Completely Regular Spaces
Vladimer Baladze, Fridon Dumbadze
Using the set of functionally open finite covers of completely regular spaces in the paper are constructed Cech type functional homology functor
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…
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…
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…