5 citations · 5 across the 4 of their papers we have counts for
5 papers
The Biderivative and A_\infty-bialgebras
Samson Saneblidze, Ronald Umble
An A_\infty-bialgebra is a DGM H equipped with structurally compatible operations {ω^{j,i} : H^{\otimes i} --> H^{\otimes j}} such that (H,ω^{1,i}) is an A_\infty-algebra and (H,ω^…
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…
Diagonals on the Permutahedra, Multiplihedra and Associahedra
Samson Saneblidze, Ronald Umble
We construct an explicit diagonal Δ_P on the permutahedra P. Related diagonals on the multiplihedra J and the associahedra K are induced by Tonks' projection P --> K and its factor…
A Diagonal on the Associahedra
Samson Saneblidze, Ronald Umble
Let C_*(K) denote the cellular chains on the Stasheff associahedra. We construct an explicit combinatorial diagonal Δ: C_*(K) --> C_*(K) \otimes C_*(K); consequently, we obtain an…