This is an announcement for the paper “Szlenk and $w^*$-dentability indices of $C(K)$” by Ryan M. Causey.

Abstract: Given any compact, Hausdorff space $K$ and $1<p<\infty$, we compute the Szlenk and $w^*$-dentability indices of the spaces $C(K)$ and $L_p(C(K))$ We show that if $K$ is compact, Hausdorff, scattered, $CB(K)$ is the Cantor-Bendixson index of $K$, and $\eta$ is the minimum ordinal such that $CB(K)\leq \omega\eta$, then $S_z(C(K))=\omega\eta$ and $D_z(C(K))=S_z(L_p(C(K)))=\omega_1+eta$.

The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1605.01969