%0 Journal Article
%T On the spectrum $b{\rm o} \wedge tmf$
%A Scott M. Bailey
%J Mathematics
%D 2009
%I arXiv
%X M. Mahowald, in his work on $b{\rm o}$-resolutions, constructed a $b{\rm o}$-module splitting of the spectrum $b{\rm o} \wedge b{\rm o}$ into a wedge of summands related to integral Brown-Gitler spectra. In this paper, a similar splitting of $b{\rm o} \sm tmf$ is constructed. This splitting is then used to understand the $b{\rm o}_*$-algebra structure of $b{\rm o}_* tmf$ and allows for a description of $b{\rm o}^* tmf$.
%U http://arxiv.org/abs/0903.0156v1