Fell-continuous selections and topologically well-orderable spaces II

Valentin Gutev

Fell-continuous selections and topologically well-orderable spaces II

General Topology 2007-05-23 v1

Authors: Valentin Gutev

Abstract

The present paper improves a result of V. Gutev and T. Nogura (1999) showing that a space $X$ is topologically well-orderable if and only if there exists a selection for $\mathcal{F}_2(X)$ which is continuous with respect to the Fell topology on $\mathcal{F}_2(X)$ . In particular, this implies that $\mathcal{F}(X)$ has a Fell-continuous selection if and only if $\mathcal{F}_2(X)$ has a Fell-continuous selection.

Keywords

general topology

Cite

@article{arxiv.math/0204129,
  title  = {Fell-continuous selections and topologically well-orderable spaces II},
  author = {Valentin Gutev},
  journal= {arXiv preprint arXiv:math/0204129},
  year   = {2007}
}

Comments

7 pages

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