Relative Borsuk-Ulam Theorems for Spaces with a Free ℤ₂-action

• Autorzy: Denise de Mattos , Thaís F. M. Monis , Edivaldo L. dos Santos
• Języki publikacji: EN

Abstrakty

EN

Let (X,A) be a pair of topological spaces, T : X → X a free involution and A a T-invariant subset of X. In this context, a question that naturally arises is whether or not all continuous maps $f : X → ℝ^{k}$ have a T-coincidence point, that is, a point x ∈ X with f(x) = f(T(x)). In this paper, we obtain results of this nature under cohomological conditions on the spaces A and X.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 55M35: Finite groups of transformations (including Smith theory)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: 61
• Numer: 1
• Strony: 71-77

Daty

wydano

2013

Twórcy

autor

Denise de Mattos

• Department of Mathematics, ICMC - University of São Paulo, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil

autor

Thaís F. M. Monis

• Department of Mathematics, IGCE - Universidade Estadual Paulista, Caixa Postal 178, 13506-900 Rio Claro, SP, Brazil

autor

Edivaldo L. dos Santos

• Department of Mathematics, Federal University of São Carlos, Caixa Postal 676, 13565-905, São Carlos, SP, Brazil

Identyfikatory

DOI

10.4064/ba61-1-8