Relationships between some selection principles and star selection principles

DOI10.1016/j.topol.2022.108077zbMath1497.54021arXiv2109.11588OpenAlexW3202368219MaRDI QIDQ2131805

Javier Casas-de la Rosa

Publication date: 27 April 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11588

zbMATH Keywords

refinementsstar selection principles(strongly) star Menger(strongly) star-Rothberger

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Cites Work

• Some star and strongly star selection principles
• Combinatorics of open covers. I: Ramsey theory
• Star and strong star-type versions of Rothberger and Menger principles for hit-and-miss topology
• Star versions of the Rothberger property on hyperspaces
• Rothberger and Rothberger-type star selection principles on hyperspaces
• Menger and Menger-type star selection principles for hit-and-miss topology
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