Open AccessExamples of Rational Toral Rank Complex
Author(s) -
Toshihiro Yamaguchi
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/867247
Subject(s) - mathematics , rank (graph theory) , product (mathematics) , homotopy , combinatorics , font , matrix (chemical analysis) , pure mathematics , discrete mathematics , geometry , computer science , materials science , composite material , operating system
There is a CW complex (), which gives arational homotopical classification of almost free toral actions on spaces in therational homotopy type of X associated with rational toral ranks and alsopresents certain relations in them. We call it the rational toral rank complexof X. It represents a variety of toral actions. In this note, we will give effective2-dimensional examples of it when X is a finite product of odd spheres. Thisis a combinatorial approach in rational homotopy theory
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