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
Büscher, Sebastian  1 ; Hebestreit, Fabian  2 ; Röndigs, Oliver  1 ; Stelzer, Manfred  1
@article{10_2140_agt_2013_13_127,
author = {B\"uscher, Sebastian and Hebestreit, Fabian and R\"ondigs, Oliver and Stelzer, Manfred},
title = {The {Arone{\textendash}Goodwillie} spectral sequence for {\ensuremath{\Sigma}\ensuremath{\infty}\ensuremath{\Omega}n} and topological realization at odd primes},
journal = {Algebraic and Geometric Topology},
pages = {127--169},
year = {2013},
volume = {13},
number = {1},
doi = {10.2140/agt.2013.13.127},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2013.13.127/}
}
TY - JOUR AU - Büscher, Sebastian AU - Hebestreit, Fabian AU - Röndigs, Oliver AU - Stelzer, Manfred TI - The Arone–Goodwillie spectral sequence for Σ∞Ωn and topological realization at odd primes JO - Algebraic and Geometric Topology PY - 2013 SP - 127 EP - 169 VL - 13 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2013.13.127/ DO - 10.2140/agt.2013.13.127 ID - 10_2140_agt_2013_13_127 ER -
%0 Journal Article %A Büscher, Sebastian %A Hebestreit, Fabian %A Röndigs, Oliver %A Stelzer, Manfred %T The Arone–Goodwillie spectral sequence for Σ∞Ωn and topological realization at odd primes %J Algebraic and Geometric Topology %D 2013 %P 127-169 %V 13 %N 1 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2013.13.127/ %R 10.2140/agt.2013.13.127 %F 10_2140_agt_2013_13_127
Büscher, Sebastian; Hebestreit, Fabian; Röndigs, Oliver; Stelzer, Manfred. The Arone–Goodwillie spectral sequence for Σ∞Ωn and topological realization at odd primes. Algebraic and Geometric Topology, Tome 13 (2013) no. 1, pp. 127-169. doi: 10.2140/agt.2013.13.127
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