Unstable splittings for real spectra

Kitchloo, Nitu; Wilson, W Stephen

doi:10.2140/agt.2013.13.1053

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Unstable splittings for real spectra

Nitu Kitchloo and W Stephen Wilson

Algebraic & Geometric Topology 13 (2013) 1053–1070

DOI: 10.2140/agt.2013.13.1053

Abstract

We show that the unstable splittings of the spaces in the Omega spectra representing $B P$ , $B P 〈 n 〉$ 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 $E R (2)$ 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/

Volume 13, issue 2 (2013)