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Artículo
The algebra of secondary homotopy operations in ring spectra
(London Mathematical Society, 2011)
The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R and ...
Artículo
A note on K-theory and triangulated derivators
(Elsevier, 2011-08-01)
In this paper we show an example of two differential graded algebras that have the same derivator K-theory but non-isomorphic Waldhausen K-theory. We also prove that Maltsiniotis’s comparison and localization conjectures ...
Artículo
Homotopy theory of nonsymmetric operads
(Mathematical Sciences Publishers, 2011)
We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also ...