7 citations · 17 across the 6 of their papers we have counts for
6 papers
On the homology theory of fibre spaces
Tornike Kadeishvili
The $A(\inft)$-algebra structure in homology of a DG-algebra is constructed. This structure is unique up to isomorphism of algebras. Connection of this structure with M…
On the cobar construction of a bialgebra
Tornike Kadeishvili
We show that the cobar construction of a DG-bialgebra is a homotopy G-algebra. This implies that the bar construction of this cobar is a DG-bialgebra as well.
Structure of -algebra and Hochschild and Harrison cohomology
Tornike Kadeishvili
Stasheff's -algebra in fact is a DG-algebra with not necessarily associative product but this nonassociati…
The twisted Cartesian model for the double path fibration
Tornike Kadeishvili, Samson Saneblidze
In the paper the notion of truncating twisting function from a cubical set to a permutahedral set and the corresponding notion of twisted Cartesian product of these sets are introd…
A cubical model for a fibration
Tornike Kadeishvili, Samson Saneblidze
In the paper the notion of truncating twisting function from a simplicial set to a cubical set and the corresponding notion of twisted Cartesian product of these…
Cochain operations defining Steenrod -products in the bar construction
T. Kadeishvili
The set of cochain multioperations defining Steenrod -products in the bar construction is constructed in terms of surjection operad. This structure extends a Homotopy G-a…