28 citations · 101 across the 13 of their papers we have counts for
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Some Remarks on Realization of Simplicial Algebras in Cat
Zbigniew Fiedorowicz, Rainer M. Vogt
In this paper we discuss why the passage from simplicial algebras over a Cat operad to algebras over that operad involves apparently unavoidable technicalities.
Rectification of Weak Product Algebras over an Operad in Cat and Top and Applications
Zbigniew Fiedorowicz, Manfred Stelzer, Rainer M. Vogt
We develop an alternative to the May-Thomason construction used to compare operad based infinite loop machines to that of Segal, which relies on weak products. Our construction has…
Homotopy homomorphisms and the classifying space functor
R. M. Vogt
We show that the classifying space functor from the category of topological monoids to the category of based spaces is left adjoint to the Moore loop space functo…
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…
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…
A model structure for coloured operads in symmetric spectra
Javier J. Gutiérrez, Rainer M. Vogt
We describe a model structure for coloured operads with values in the category of symmetric spectra (with the positive model structure), in which fibrations and weak equivalences a…