On the Singer functor R_1 and the functor Fix

Details On the Singer functor R_1 and the functor Fix On the Singer functor R_1 and the functor Fix

2009-12-04

arxiv.org/abs/0912.0839v1

Mathematics

Algebraic Topology

Scientific paper

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.

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