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

Denise de Mattos, Thaís F. M. Monis, and Edivaldo L. dos Santos. "Relative Borsuk-Ulam Theorems for Spaces with a Free ℤ₂-action." Bulletin of the Polish Academy of Sciences. Mathematics 61.1 (2013): 71-77. <http://eudml.org/doc/281196>.

@article{DenisedeMattos2013,
abstract = {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.},
author = {Denise de Mattos, Thaís F. M. Monis, Edivaldo L. dos Santos},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Borsuk-Ulam theorem; multi-valued map; involution},
language = {eng},
number = {1},
pages = {71-77},
title = {Relative Borsuk-Ulam Theorems for Spaces with a Free ℤ₂-action},
url = {http://eudml.org/doc/281196},
volume = {61},
year = {2013},
}

TY - JOUR
AU - Denise de Mattos
AU - Thaís F. M. Monis
AU - Edivaldo L. dos Santos
TI - Relative Borsuk-Ulam Theorems for Spaces with a Free ℤ₂-action
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2013
VL - 61
IS - 1
SP - 71
EP - 77
AB - 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.
LA - eng
KW - Borsuk-Ulam theorem; multi-valued map; involution
UR - http://eudml.org/doc/281196
ER -