Approaching points by continuous selections

DOI Web Site 19 References
  • Gutev Valentin
    School of Mathematical Sciences, Faculty of Science, University of KwaZulu-Natal

Search this article

Abstract

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.

Journal

References(19)*help

See more

Keywords

Details 詳細情報について

Report a problem

Back to top