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Artículo
On determinant functors and K-theory
Muro Jiménez, Fernando; Tonks, Andrew; Witte, Malte (Universitat Autònoma de Barcelona, 2015)We extend Deligne’s notion of determinant functor to Waldhausen categories and (strongly) triangulated categories. We ...
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Artículo
The 1-type of a Waldhausen K-theory spectrum
Muro Jiménez, Fernando; Tonks, Andrew (Elsevier, 2007-12-01)We give a small functorial algebraic model for the 2-stage Postnikov section of the K-theory spectrum of a Waldhausen category and use our presentation to describe the multiplicative structure with respect to biexact functors.
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Artículo
Unital associahedra
Muro Jiménez, Fernando; Tonks, Andrew (De Gruyter, 2014-03)We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A∞-algebras of Fukaya-Oh-Ohta-Ono.