8 citations · 8 across the 4 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AT2021
The Tautness Property of Homology Theory
Anzor Beridze, Leonard Mdzinarishvili
The tautness for a cohomology theory is formulated and studied by various authors. However, the analogous property is not considered for a homology theory. In this paper, we will d…
math.AT2021
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…
math.AT2021
On the Universal Coefficient Formula and Derived Functor
Anzor Beridze, Leonard Mdzinarishvili
It is known that homology and inverse limit functors do not commute. In the paper we consider this very problem and find its application for various homology theories. In particula…