A hit-and-miss topology for $2^X$, $C_{n}(X)$ and $F_{n}(X)$
Volume 115 / 2009
Colloquium Mathematicum 115 (2009), 47-64
MSC: Primary 54B20; Secondary 54F15, 54A10.
DOI: 10.4064/cm115-1-6
Abstract
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.
