#### Volume 13, issue 2 (2013)

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Unstable splittings for real spectra

### Nitu Kitchloo and W Stephen Wilson

Algebraic & Geometric Topology 13 (2013) 1053–1070
##### Abstract

We show that the unstable splittings of the spaces in the Omega spectra representing $BP$, $BP〈n〉$ 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.

##### Keywords
unstable homotopy, unstable splitting, real spectra
##### Mathematical Subject Classification 2010
Primary: 55N20, 55N22
Secondary: 55N91