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http://repositorio.ufla.br/jspui/handle/1/50532| Title: | On the length of cohomology spheres |
| Keywords: | Cohomological length Cohomology spheres Borsuk-Ulam theorem Bourgin-Yang theorem Equivariant map Comprimento cohomológico Esferas de cohomologia Teorema de Borsuk-Ulam Teorema de Bourgin-Yang Mapa equivalente |
| Issue Date: | 15-Apr-2021 |
| Publisher: | Elsevier |
| Citation: | MATTOS, D. de; SANTOS, E. L. dos; SILVA, N. A. On the length of cohomology spheres. Topology and its Applications, Amsterdam, v. 239, 107569, 15 Abr. 2021. DOI: 10.1016/j.topol.2020.107569. |
| Abstract: | In [2], T. Bartsch provided detailed and broad exposition of a numerical cohomological index theory for G-spaces, known as the length, where G is a compact Lie group. We present the length of G-spaces which are cohomology spheres and G is a p-torus or a torus group, where p is a prime. As a consequence, we obtain Borsuk-Ulam and Bourgin-Yang type theorems in this context. A sharper version of the Bourgin-Yang theorem for topological manifolds is also proved. Also, we give some general results regarding the upper and lower bound for the length. |
| URI: | https://doi.org/10.1016/j.topol.2020.107569 http://repositorio.ufla.br/jspui/handle/1/50532 |
| Appears in Collections: | DEX - Artigos publicados em periódicos |
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