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math.AT2002★ 5 cited
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…
math.AT2002
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…
math.AT2002
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…