A hit-and-miss topology for 2X, Cₙ(X) and Fₙ(X)
Benjamín Espinoza ; Verónica Martínez-de-la-Vega ; Jorge M. Martínez-Montejano
Colloquium Mathematicae, Tome 116 (2009), p. 47-64 / Harvested from The Polish Digital Mathematics Library
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A hit-and-miss topology (τHM) is defined for the hyperspaces 2X, Cₙ(X) and Fₙ(X) of a continuum X. We study the relationship between τHM and the Vietoris topology and we find conditions on X for which these topologies are equivalent.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284032 
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     author = {Benjam\'\i n Espinoza and Ver\'onica Mart\'\i nez-de-la-Vega and Jorge M. Mart\'\i nez-Montejano},
     title = {A hit-and-miss topology for $2^X$, Cn(X) and Fn(X)},
     journal = {Colloquium Mathematicae},
     volume = {116},
     year = {2009},
     pages = {47-64},
     zbl = {1211.54025},
     language = {en},
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Benjamín Espinoza; Verónica Martínez-de-la-Vega; Jorge M. Martínez-Montejano. A hit-and-miss topology for $2^X$, Cₙ(X) and Fₙ(X). Colloquium Mathematicae, Tome 116 (2009) pp. 47-64. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm115-1-6/