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Mathematics > Algebraic Topology

arXiv:0912.0839 (math)
[Submitted on 4 Dec 2009]

Title:On the Singer functor R_1 and the functor Fix

Authors:Geoffrey Powell
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Abstract: Lannes' T-functor is used to give a construction of the Singer functor R_1 on the category U of unstable modules over the Steenrod algebra A. This leads to a direct proof that the composite functor Fix R_1 is naturally equivalent to the identity. Further properties of the functors R_1 are deduced, especially when applied to reduced and nilclosed unstable modules.
Subjects: Algebraic Topology (math.AT)
MSC classes: 55S10
Cite as: arXiv:0912.0839 [math.AT]
  (or arXiv:0912.0839v1 [math.AT] for this version)
  https://doi.org/10.48550/arXiv.0912.0839

Submission history

From: Geoffrey Powell [view email]
[v1] Fri, 4 Dec 2009 13:07:13 UTC (16 KB)
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