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arXiv · 1405.2290

Fundamental theorems for the K-theory of ${\bf S}$-algebras, I: the connective case

Crichton Ogle
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Abstract

We extend the Bass-Quillen Fundamental Theorem of Algebraic K-theory to the Waldhausen K-theory of connective ${\bf S}$-algebras. The same technique used in this extension also yields two localization theorems for the relative K-theory of a 1-connected morphism of connective ${\bf S}$-algebras.

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Crichton Ogle. 2014-05-09. Fundamental theorems for the K-theory of ${\bf S}$-algebras, I: the connective case. https://arxiv.org/abs/1405.2290

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