Unstable splittings for real spectra

Abstract

We show that the unstable splittings of the spaces in the Omega spectra representing $BP$, $BP\langle n\rangle$ and $E\left(n\right)$ from [Amer. J. Math. 97 (1975) 101–123] may be obtained for the real analogs of these spectra using techniques similar to those in [Progr. Math. 196 (2001) 35–45]. Explicit calculations for $ER\left(2\right)$ are given.