Selectors for sequences of subsets of hyperspaces

Alexander V. Osipov

Selectors for sequences of subsets of hyperspaces

General Topology 2018-11-05 v1

Authors: Alexander V. Osipov

Abstract

For a Hausdorff space $X$ we denote be $2^X$ the family of all closed subsets of $X$ . In this paper we continue to research relationships between closure -type properties of hyperspaces over a space $X$ and covering properties of $X$ . We investigate selectors for sequence of subsets of the space $2^{X}$ with the $Z^{+}$ -topology and the upper Fell topology.

Keywords

hyperspaces selectors hausdorff space z+-topology upper fell topology covering properties

Cite

@article{arxiv.1811.00788,
  title  = {Selectors for sequences of subsets of hyperspaces},
  author = {Alexander V. Osipov},
  journal= {arXiv preprint arXiv:1811.00788},
  year   = {2018}
}

Comments

13 pages

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