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
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
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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title = {A hit-and-miss topology for $2^X$, $C_{n}(X)$ and $F_{n}(X)$},
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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
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