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math.AT2007
A connection between cellularization for groups and spaces via two-complexes
Jose L. Rodriguez, Jerome Scherer
Let denote a two-dimensional Moore space (so ), with fundamental group . The -cellular spaces are those one can build from by using wedges, push-outs,…
math.AT2003
Plus-construction for algebras over an operad, cyclic and Hochschild homologies up to homotopy
David Chataur, Jose Luis Rodriguez, Jerome Scherer
In this paper we apply homotopical localization to the framework of differential graded algebras over an operad. We get plus construction by performing nullification with respect t…
math.AT2003
Homology equivalences inducing an epimorphism on the fundamental group and Quillen's plus construction
Jose L. Rodriguez, Dirk Scevenels
Quillen's plus construction is a topological construction that kills the maximal perfect subgroup of the fundamental group of a space without changing the integral homology of the…