Approaching points by continuous selections
GUTEV, Valentin
J. Math. Soc. Japan, Tome 58 (2006) no. 3, p. 1203-1210 / Harvested from Project Euclid
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Some further results about special Vietoris continuous selections and totally disconnected spaces are obtained, also several applications are demonstrated. In particular, it is demonstrated that a homogeneous separable metrizable space has a continuous selection for its Vietoris hyperspace if and only if it is discrete,or a discrete sum of copies of the Cantor set, or is the irrational numbers.
Publié le : 2006-10-14
Classification:  hyperspace topology,  Vietoris topology,  continuous selection,  54B20,  54C65,  54F65 
@article{1179759545,
     author = {GUTEV, Valentin},
     title = {Approaching points by continuous selections},
     journal = {J. Math. Soc. Japan},
     volume = {58},
     number = {3},
     year = {2006},
     pages = { 1203-1210},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1179759545}
}

GUTEV, Valentin. Approaching points by continuous selections. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp.  1203-1210. http://gdmltest.u-ga.fr/item/1179759545/