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The Igusa-Waldhausen paper (roughly) entitled,

The expansion space model for $Q(X_+)$

which is supposed to give a very different proof of the splitting $A(X) = Q(X_+) \times \text{Wh}^{\text{diff}}(X)$ that is based on a description of $Q(X_+)$ as the moduli space of finite relative cell complexes over $X$.

2 edited body

The Igusa-Waldhausen paper (roughly) entitled,

"

The expansion space model for $Q(X_+)$"Q(X_+)$which is supposed to give a very different proof of the splitting$A(X) = Q(X_+) \times \text{Wh}^{\text{diff}}(X)$that based on a description of$A(X)$has Q(X_+)$ as the "moduli space of finite relative cell complexes over $X$."BlockquoteX$. 1 [made Community Wiki] The Igusa-Waldhausen paper (roughly) entitled, "The expansion space model for$Q(X_+)$" which is supposed to give a very different proof of the splitting$A(X) = Q(X_+) \times \text{Wh}^{\text{diff}}(X)$based on a description of$A(X)$has the "moduli space of finite relative cell complexes over$X\$."Blockquote