Geodesic
Relative Borsuk–Ulam Theorems for Spaces with a Free $\mathbb{Z}_2$-action
Denise de Mattos 1   ; Thaís F. M. Monis 2   ; Edivaldo L. dos Santos 3
1 Department of Mathematics ICMC – University of São Paulo Caixa Postal 668 13560-970 São Carlos, SP, Brazil
2 Department of Mathematics IGCE – Universidade Estadual Paulista Caixa Postal 178 13506-900 Rio Claro, SP, Brazil
3 Department of Mathematics Federal University of São Carlos Caixa Postal 676 13565-905, São Carlos, SP, Brazil
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 1, pp. 71-77 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Let $(X,A)$ be a pair of topological spaces, $T : X \to X$ 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 $f : X \to \mathbb{R}^{k}$ have a $T$-coincidence point, that is, a point $x \in X$ with $f (x) = f (T (x))$. In this paper, we obtain results of this nature under cohomological conditions on the spaces $A$ and $X$.
DOI : 10.4064/ba61-1-8
Keywords: pair topological spaces involution t invariant subset context question naturally arises whether continuous maps mathbb have t coincidence point point paper obtain results nature under cohomological conditions spaces

Denise de Mattos  1   ; Thaís F. M. Monis  2   ; Edivaldo L. dos Santos  3

1 Department of Mathematics ICMC – University of São Paulo Caixa Postal 668 13560-970 São Carlos, SP, Brazil
2 Department of Mathematics IGCE – Universidade Estadual Paulista Caixa Postal 178 13506-900 Rio Claro, SP, Brazil
3 Department of Mathematics Federal University of São Carlos Caixa Postal 676 13565-905, São Carlos, SP, Brazil 
@article{10_4064_ba61_1_8,
     author = {Denise de Mattos and Tha{\'\i}s F. M. Monis and Edivaldo L. dos Santos},
     title = {Relative {Borsuk{\textendash}Ulam} {Theorems} for {Spaces} with a {Free} $\mathbb{Z}_2$-action},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {71--77},
     year = {2013},
     volume = {61},
     number = {1},
     doi = {10.4064/ba61-1-8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba61-1-8/}
}
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 $\mathbb{Z}_2$-action
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2013
SP  - 71
EP  - 77
VL  - 61
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba61-1-8/
DO  - 10.4064/ba61-1-8
LA  - en
ID  - 10_4064_ba61_1_8
ER  - 
%0 Journal Article
%A Denise de Mattos
%A Thaís F. M. Monis
%A Edivaldo L. dos Santos
%T Relative Borsuk–Ulam Theorems for Spaces with a Free $\mathbb{Z}_2$-action
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2013
%P 71-77
%V 61
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ba61-1-8/
%R 10.4064/ba61-1-8
%G en
%F 10_4064_ba61_1_8
Denise de Mattos; Thaís F. M. Monis; Edivaldo L. dos Santos. Relative Borsuk–Ulam Theorems for Spaces with a Free $\mathbb{Z}_2$-action. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 1, pp. 71-77. doi: 10.4064/ba61-1-8

Cité par Sources :