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math.AT2011★ 1 cited
Homotopy Colimits of Algebras Over Cat-Operads and Iterated Loop Spaces
Zbigniew Fiedorowicz, Manfred Stelzer, Rainer M. Vogt
We extend Thomason's homotopy colimit construction in the category of permutative categories to categories of algebras over an arbitrary $\Cat$ operad and analyze its properties. W…
math.AT2011★ 5 cited
An Additivity Theorem for the Interchange of E_n Structures
Zbigniew Fiedorowicz, Rainer M. Vogt
The notion of interchange of two multiplicative structures on a topological space is encoded by the tensor product of the two operads parametrizing these structures. Intuitively on…