deletions | additions       diff --git a/Description/K-theorydescription.tex b/Description/K-theorydescription.tex  index 67fe73d..b558193 100644  --- a/Description/K-theorydescription.tex  +++ b/Description/K-theorydescription.tex 
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which follows from the first version of the Suslin's Rigidity Theorem and from the Quillen's work around the computation of then K-theory of finite fields.   Also it will be interesting has a discusion around the Borel's theorem on the calculation of $K_{*}(F)\otimes\mathbb{Q}$ for number fields. Quillen shows that for a number field $K_n(F)$ is finitely generated, the ranks of this groups has interesting arithmetic information.   Another interesting alternative is go through the proof of Borels Theorem wich is reduced to the computation of the real cohomology groups $H^{*}(SL_n(F),\mathbb{R})$ such cohomology groups have arithmetic information related with the construction of regulator maps. For this alternative we can follow the program of a seminar given in Bonn: Algebraic K-theory of number fields (after A. Borel)  \end{document}