Examples of Rational Toral Rank Complex
There is a CW complex 𝒯(𝑋), 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 v...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/867247 |
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| _version_ | 1832558173648584704 |
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| author | Toshihiro Yamaguchi |
| author_facet | Toshihiro Yamaguchi |
| author_sort | Toshihiro Yamaguchi |
| collection | DOAJ |
| description | There is a CW complex 𝒯(𝑋), 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. |
| format | Article |
| id | doaj-art-59b7bb8a6ea945c4b2ffae6c68825a0d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-59b7bb8a6ea945c4b2ffae6c68825a0d2025-02-03T01:32:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/867247867247Examples of Rational Toral Rank ComplexToshihiro Yamaguchi0Faculty of Education, Kochi University, 2-5-1 Akebono-Cho, Kochi 780-8520, JapanThere is a CW complex 𝒯(𝑋), 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.http://dx.doi.org/10.1155/2012/867247 |
| spellingShingle | Toshihiro Yamaguchi Examples of Rational Toral Rank Complex International Journal of Mathematics and Mathematical Sciences |
| title | Examples of Rational Toral Rank Complex |
| title_full | Examples of Rational Toral Rank Complex |
| title_fullStr | Examples of Rational Toral Rank Complex |
| title_full_unstemmed | Examples of Rational Toral Rank Complex |
| title_short | Examples of Rational Toral Rank Complex |
| title_sort | examples of rational toral rank complex |
| url | http://dx.doi.org/10.1155/2012/867247 |
| work_keys_str_mv | AT toshihiroyamaguchi examplesofrationaltoralrankcomplex |