Geodesic
A fixed-point anomaly in the plane
Charles L. Hagopian1 ; Janusz R. Prajs2
1 Department of Mathematics California State University, Sacramento Sacramento, CA 95819-6051, U.S.A.
2 Department of Mathematics California State University, Sacramento Sacramento, CA 95819-6051, U.S.A. and Institute of Mathematics and Informatics Opole University Oleska 48, Opole, Poland
Fundamenta Mathematicae, Tome 186 (2005) no. 3, pp. 233-249.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We define an unusual continuum $M$ with the fixed-point property in the plane $\mathbb R^2$. There is a disk $D$ in $\mathbb R^2$ such that $M \cap D$ is an arc and $M \cup D$ does not have the fixed-point property. This example answers a question of R. H. Bing. The continuum $M$ is a countable union of arcs.
DOI : 10.4064/fm186-3-3
Keywords: define unusual continuum fixed point property plane mathbb there disk mathbb cap arc cup does have fixed point property example answers question bing continuum countable union arcs

Charles L. Hagopian 1 ; Janusz R. Prajs 2

1 Department of Mathematics California State University, Sacramento Sacramento, CA 95819-6051, U.S.A.
2 Department of Mathematics California State University, Sacramento Sacramento, CA 95819-6051, U.S.A. and Institute of Mathematics and Informatics Opole University Oleska 48, Opole, Poland 
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Charles L. Hagopian; Janusz R. Prajs. A fixed-point anomaly in the plane. Fundamenta Mathematicae, Tome 186 (2005) no. 3, pp. 233-249. doi : 10.4064/fm186-3-3. http://geodesic.mathdoc.fr/articles/10.4064/fm186-3-3/

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