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The Reznichenko property and the Pytkeev property in hyperspaces

Name: The Reznichenko property and the Pytkeev property in hyperspaces
Creator: Ljubiša D.R. Kočinac
Keywords: Pytkeev property, groupability, Noncompact covering properties (paracompact, Lindelöf, etc.), Hurewicz property, \(Z^+\)-topology, General Topology (math.GN), Reznichenko property, 54A25, 01 natural sciences, \(\Delta^+\)-topology

The Rezinchenko property and the Pytkeev property in hyperspaces

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2005Embargo end date: 01 Jan 2003Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Hungarica, volume 107, pages 225-233 (issn: 0236-5294, eissn: 1588-2632,

Authors: Ljubiša D.R. Kočinac;

doi: 10.1007/s10474-005-0192-0 , 10.48550/arxiv.math/0312477

arXiv: http://arxiv.org/abs/math/0312477

The Reznichenko property and the Pytkeev property in hyperspaces

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Abstract

We investigate two closure-type properties, the Reznichenko property and the Pytkeev property, in hyperspace topologies.

8 pages

Related Organizations

University of Niš
Serbia

Keywords

Pytkeev property, groupability, Noncompact covering properties (paracompact, Lindelöf, etc.), Hurewicz property, \(Z^+\)-topology, General Topology (math.GN), Reznichenko property, 54A25, \(\Delta^+\)-topology, \(\omega\)-cover, \(k\)-cover, Sequential spaces, FOS: Mathematics, Hyperspaces in general topology, \(\Delta\)-cover, Cardinality properties (cardinal functions and inequalities, discrete subsets), selection principles, upper Fell topology, Mathematics - General Topology

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