A hit-and-miss topology for $2^X$, $C_{n}(X)$ and $F_{n}(X)$

Benjamín Espinoza; Verónica Martínez-de-la-Vega; Jorge M. Martínez-Montejano

doi:10.4064/cm115-1-6

Geodesic

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A hit-and-miss topology for $2^X$, $C_{n}(X)$ and $F_{n}(X)$

Benjamín Espinoza ¹ ; Verónica Martínez-de-la-Vega ² ; Jorge M. Martínez-Montejano ²

¹ Department of Mathematics University of Pittsburgh at Greensburg 1150 Mt. Pleasant Rd. Greensburg, PA 15601, U.S.A.
² Instituto de Matemáticas Universidad Nacional Autónoma de México Área de la investigación científica Circuito exterior Ciudad Universitaria México, D.F., 04510, México

Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 47-64.

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

Résumé

A hit-and-miss topology ($\tau_{\rm HM}$) is defined for the hyperspaces $2^X$, $% C_n(X)$ and $F_n(X)$ of a continuum $X$. We study the relationship between $% \tau_{\rm HM}$ and the Vietoris topology and we find conditions on $X$ for which these topologies are equivalent.

DOI : 10.4064/cm115-1-6

Keywords: hit and miss topology tau defined hyperspaces continuum study relationship between tau vietoris topology conditions which these topologies equivalent

Affiliations des auteurs :

Benjamín Espinoza ¹ ; Verónica Martínez-de-la-Vega ² ; Jorge M. Martínez-Montejano ²

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Benjamín Espinoza; Verónica Martínez-de-la-Vega; Jorge M. Martínez-Montejano. A hit-and-miss topology for $2^X$, $C_{n}(X)$ and $F_{n}(X)$. Colloquium Mathematicum, Tome 115 (2009) no. 1, pp. 47-64. doi : 10.4064/cm115-1-6. http://geodesic.mathdoc.fr/articles/10.4064/cm115-1-6/

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