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The Arone–Goodwillie
spectral sequence for $\Sigma^{\infty}\Omega^n$ and
topological realization at odd primes
Sebastian Büscher, Fabian Hebestreit, Oliver Röndigs and Manfred Stelzer |
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Algebraic & Geometric Topology 13 (2013) 127–169
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Abstract |
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We employ the Goodwillie spectral sequence for the iterated loop space functor in order to provide realizability conditions on certain unstable modules over the Steenrod algebra at an odd prime. |
Keywords
Topological realization, Calculus of functors, Unstable
modules
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Mathematical Subject Classification 2010
Primary: 55P65, 55S10
Secondary: 55T99
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References |
Publication
Received: 11 November 2011
Revised: 9 August 2012
Accepted: 9 August 2012
Published: 9 February 2013
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Authors |
| Sebastian Büscher | |
| Institut für Mathematik, Universität
Osnabrück D-D-49069 Osnabrück Germany |
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| Fabian Hebestreit | |
| Mathematisches Institut, Universität
Münster D-D-48149 Münster, Germany |
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| Oliver Röndigs | |
| Institut für Mathematik, Universität
Osnabrück D-D-49069 Osnabrück, Germany |
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| Manfred Stelzer | |
| Institut für Mathematik, Universität
Osnabrück D-D-49069 Osnabrück, Germany |
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