Examples of Rational Toral Rank Complex

Toshihiro Yamaguchi

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-8

Abstract:

There is a CW complex ð ’¯ ( ð ‘‹ ) , 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:867247

DOI: 10.1155/2012/867247

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