28 citations · 75 across the 13 of their papers we have counts for
13 papers
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 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…
Localisation and Completion with an addendum on the use of Brown-Peterson homology in stable homotopy
J. Frank Adams, Zbigniew Fiedorowicz
These are notes, by Z. Fiedorowicz, from lectures given by J. Frank Adams at the University of Chicago in spring of 1973. They give an elegant axiomatic presentation of localizatio…
Associahedra and Weak Monoidal Structures on Categories
Zbigniew Fiedorowicz, Steven Gubkin, Rainer M. Vogt
This paper answers the following question: what algebraic structure on a category corresponds to an structure (in the sense of Stasheff) on the geometric realization of its n…