Title: On Lannes T-Functor
Author: Larry Smith
AMSCodes: 55S10 Steenrod Algebra
Email: larry@sunrise.uni-math.gwdg.de
This is a PostScript file!!
Abstract: Let K denote the category of unstable algebras over the Steenrod
algebra A^*. In connection with the study of the cohomology of function spaces
J. Lannes introduced a remarkable functor T_U : K wigglyrightarrow K
depending on a finite dimensional vector space U over the prime field.
The purpose of this note is to prove some basic facts concerning how T_U
relates to many of the standard properties of commutative algebras, such as
Noetherean, polynomial, Cohen-Macaulay, etc. Some of the results proved here
are already known, and some not. In all cases the proofs are new.