## Algebraic & Geometric Topology

### Unstable splittings for real spectra

#### Abstract

We show that the unstable splittings of the spaces in the Omega spectra representing $BP$, $BP〈n〉$ and $E(n)$ 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 $ER(2)$ are given.

#### Article information

Source
Algebr. Geom. Topol., Volume 13, Number 2 (2013), 1053-1070.

Dates
Revised: 4 August 2012
Accepted: 14 November 2012
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715548

Digital Object Identifier
doi:10.2140/agt.2013.13.1053

Mathematical Reviews number (MathSciNet)
MR3044602

Zentralblatt MATH identifier
1270.55003

#### Citation

Kitchloo, Nitu; Wilson, W Stephen. Unstable splittings for real spectra. Algebr. Geom. Topol. 13 (2013), no. 2, 1053--1070. doi:10.2140/agt.2013.13.1053. https://projecteuclid.org/euclid.agt/1513715548

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