J.P.C.Greenlees 
``Rational torus-equivariant stable homotopy I: 
calculating groups of stable maps.'' (22pp)

This is the first in a series designed to give a complete 
algebraic model for rational G equivariant cohomology 
theories for an r-torus G. It constructs an abelian 
category A(G) of injective dimension r designed to 
capture localization and inflation information about 
cohomology theories. The category A(G) is the target of 
a homology theory on G-spectra, and there is a finite 
Adams spectral sequence for calculating maps of rational 
T-spectra for a torus T, with E2 term an Ext in the 
abelian category. [The distribution of material between 
Part I and Part II has been substantially reorganized, to 
the great benefit of readability. However the mathematical 
content is unchanged (31/8/01).] 
(27/7/01; reorganized version 31/8/01)