The homotopy groups of bo^tmf are shown to be isomorphic to the homotopy groups of a wedge of suspensions of spectra related to integral Brown-Gitler spectra. We will then restate Mahowald's proof of the topological splitting of bo^bo and subsequently apply similar techniques to construct a map that realizing the algebraic splitting of the homotopy of bo^tmf as a topological splitting on the level of spectra. As an application, we use our results to provide ample groundwork demonstrating the splitting of the Tate spectrum of tmf.

Last modified

• 09/07/2018

Creator

• Scott MIchael Bailey

DOI

• https://doi.org/10.21985/N2GX52

Subject

• Mathematics

Keyword

• integral Brown Gitler spectra
• tmf
• Tate spectrum

Date created

• 2008-05-09

Resource type

• Dissertation

Rights statement

• In Copyright