Non-symmetric and parametrized versions of the Borsuk-Ulam theorem
Fundamental group and covering spaces: Borsuk-Ulam and aplications
| Full text | |
| Author(s): |
Marzantowicz, Wacaw
;
de Mattos, Denise
;
dos Santos, Edivaldo L.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Fixed Point Theory and Applications; v. 19, n. 2, p. 1427-1437, JUN 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
Let V and W be orthogonal representations of G with . Let S(V ) be the sphere of V and be a G-equivariant mapping. We give an estimate for the dimension of the set in terms of and , if G is the torus , or the p-torus . This extends the classical Bourgin-Yang theorem onto this class of groups. Finally, we show that for any p-toral group G and a G-map , with and , we have dim Z(f) = infinity. (AU) | |
| FAPESP's process: | 13/10353-8 - Separation theorems and properties of the general position in generalized manifolds |
| Grantee: | Edivaldo Lopes dos Santos |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/24845-0 - On Lusternik-Schnirelmann category, ideal-value genus and global classification of isolated singularities |
| Grantee: | Denise de Mattos |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/24454-8 - Algebraic, geometric and differential topology |
| Grantee: | Daciberg Lima Gonçalves |
| Support Opportunities: | Research Projects - Thematic Grants |