A hit-and-miss topology for $2^X$, Cₙ(X) and Fₙ(X)

Benjamín Espinoza, Verónica Martínez-de-la-Vega, and Jorge M. Martínez-Montejano. "A hit-and-miss topology for $2^X$, Cₙ(X) and Fₙ(X)." Colloquium Mathematicae 115.1 (2009): 47-64. <http://eudml.org/doc/284032>.

@article{BenjamínEspinoza2009,
abstract = {A hit-and-miss topology ($τ_\{HM\}$) is defined for the hyperspaces $2^X$, Cₙ(X) and Fₙ(X) of a continuum X. We study the relationship between $τ_\{HM\}$ and the Vietoris topology and we find conditions on X for which these topologies are equivalent.},
author = {Benjamín Espinoza, Verónica Martínez-de-la-Vega, Jorge M. Martínez-Montejano},
journal = {Colloquium Mathematicae},
keywords = {aposyndesis; continua; hit-and-miss topology; hyperspace; Jones’ function ; semi-locally connected; Vietoris topology},
language = {eng},
number = {1},
pages = {47-64},
title = {A hit-and-miss topology for $2^X$, Cₙ(X) and Fₙ(X)},
url = {http://eudml.org/doc/284032},
volume = {115},
year = {2009},
}

TY - JOUR
AU - Benjamín Espinoza
AU - Verónica Martínez-de-la-Vega
AU - Jorge M. Martínez-Montejano
TI - A hit-and-miss topology for $2^X$, Cₙ(X) and Fₙ(X)
JO - Colloquium Mathematicae
PY - 2009
VL - 115
IS - 1
SP - 47
EP - 64
AB - A hit-and-miss topology ($τ_{HM}$) is defined for the hyperspaces $2^X$, Cₙ(X) and Fₙ(X) of a continuum X. We study the relationship between $τ_{HM}$ and the Vietoris topology and we find conditions on X for which these topologies are equivalent.
LA - eng
KW - aposyndesis; continua; hit-and-miss topology; hyperspace; Jones’ function ; semi-locally connected; Vietoris topology
UR - http://eudml.org/doc/284032
ER -