Smith theory and the functor T

  title={Smith theory and the functor T},
  author={William G. Dwyer and Clarence W. Wilkerson},
J. Lannes has introduced and studied a remarkable functor T [L1] which takes an unstable module (or algebra) over the Steenrod algebra to another object of the same type. This functor has played an important role in several proofs of the generalized Sullivan Conjecture [L1] [L2] [DMN] and has led to homotopical rigidity theorems for classifying spaces [DMW1] [DMW2]. In this paper we will use techniques of Smith theory [DW] to calculate the functor T explicitly in certain key special situations… CONTINUE READING
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