Title:
      The Rational Toomer Invariant and Certain Elliptic Spaces
Author(s):
      Gregory Lupton
Author's e-mail address:
      G.Lupton@csuohio.edu
AMS classification number:
      Primary 55P62, 55M30; Secondary 55T10
Other useful information:
      math.AT/0309392.  Contemporary Mathematics, Vol. 316 (2002), 135--146
Abstract:
      We give an explicit formula for the rational category of an
elliptic space whose minimal model has a homogeneous-length
differential.  We also show that for such a space, there are no
gaps in the sequence of integers realized as the rational Toomer
invariant of some cohomology class.  With an additional
hypothesis, we show a result from which we deduce the relation
dim(H^*(X;Q)) >= 2 cat_0(X).