Emanuel Rodr'iguez Cirone

collaborators

3 papers

math.KT2019

Two examples of vanishing and squeezing in $K_{1}$

Eugenia Ellis, Emanuel Rodríguez Cirone, Gisela Tartaglia +1

Controlled topology is one of the main tools for proving the isomorphism conjecture concerning the algebraic $K$ -theory of group rings. In this article we dive into this machinery…

math.KT2019

The loop-stable homotopy category of algebras

Emanuel Rodríguez Cirone

Let l be a commutative ring with unit. Garkusha constructed a functor from the category of l-algebras into a triangulated category D, that is a universal excisive and homotopy inva…

math.AT2018

The homotopy groups of the simplicial mapping space between algebras

Emanuel Rodríguez Cirone

Let $ℓ$ be a commutative ring with unit. To every pair of $ℓ$ -algebras $A$ and $B$ one can associate a simplicial set $hom (A, B^{Δ})$ so that $π_{0} hom (A, B^{Δ})$ equals the set of…

Two examples of vanishing and squeezing in K1​

The loop-stable homotopy category of algebras

The homotopy groups of the simplicial mapping space between algebras

Two examples of vanishing and squeezing in $K_{1}$