7 citations · 21 across the 10 of their papers we have counts for
10 papers
Ainfinity-algebra Structure in Cohomology and its Applications
Tornike Kadeishvili
In these lectures we present our minimality theorem by which in cohomology of a topological space appear multioperations which turn it ot Stasheff algebra. This rich st…
Cohomology -algebra and Rational Homotopy Type
Tornike Kadeishvili
In the rational cohomology of a 1-connected space a structure of -algebra is constructed and it is shown that this object determines the rational homotopy type
Twisting Elements in Homotopy G-algebras
Tornike Kadeishvili
We study the notion of twisting elements with respect to product when it is a part of homotopy Gerstenhaber algebra structure. This allows to bring to one co…
On the Differentials of the Spectral Sequence of a Fibre Bundle
T. Kadeishvili
Let be a principal -bundle, be a space and be the associated bundle with the fiber . Generally and the action $H_*(G)\otimes H_*(F)\to…
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.