Browsing by Author "Tonks, Andrew"
On determinant functors and K-theory [Article]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 construct explicit universal determinant functors in each case, whose target is an algebraic model for ...
The 1-type of a Waldhausen K-theory spectrum [Article]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.
Unital associahedra [Article]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.