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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, BPn 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.

Keywords
unstable homotopy, unstable splitting, real spectra
Mathematical Subject Classification 2010
Primary: 55N20, 55N22
Secondary: 55N91
References
Publication
Received: 20 March 2012
Revised: 4 August 2012
Accepted: 14 November 2012
Published: 17 April 2013
Authors
Nitu Kitchloo
Department of Mathematics
Johns Hopkins University
3400 N. Charles St.
Baltimore, MD 21218
USA
http://www.math.jhu.edu/~nitu/
W Stephen Wilson
Department of Mathematics
Johns Hopkins University
3400 N. Charles St.
Baltimore, MD 21218
USA
http://www.math.jhu.edu/~wsw/