%0 Journal Article
%T Examples of Rational Toral Rank Complex
%A Toshihiro Yamaguchi
%J International Journal of Mathematics and Mathematical Sciences
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/867247
%X There is a CW complex (), which gives a rational homotopical classification of almost free toral actions on spaces in the rational homotopy type of X associated with rational toral ranks and also presents certain relations in them. We call it the rational toral rank complex of X. It represents a variety of toral actions. In this note, we will give effective 2-dimensional examples of it when X is a finite product of odd spheres. This is a combinatorial approach in rational homotopy theory.
%U http://www.hindawi.com/journals/ijmms/2012/867247/