Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 58, Number 4 (2006), 1203-1210.
Approaching points by continuous selections
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.
J. Math. Soc. Japan, Volume 58, Number 4 (2006), 1203-1210.
First available in Project Euclid: 21 May 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 54B20: Hyperspaces 54C65: Selections [See also 28B20]
Secondary: 54F65: Topological characterizations of particular spaces
GUTEV, Valentin. Approaching points by continuous selections. J. Math. Soc. Japan 58 (2006), no. 4, 1203--1210. doi:10.2969/jmsj/1179759545. https://projecteuclid.org/euclid.jmsj/1179759545