Open AccessGeneralized open sets and selection properties
Author(s) -
Ljubiša D. R. Kočinac
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1905485k
Subject(s) - mathematics , complement (music) , selection (genetic algorithm) , property (philosophy) , topological space , space (punctuation) , open set , pure mathematics , discrete mathematics , computer science , artificial intelligence , epistemology , biochemistry , chemistry , philosophy , complementation , gene , phenotype , operating system
We define and study new weak versions of the classical Menger covering property. For this we use ?-open and ?-open covers of a topological space. Relations of these properties with known weak versions of the Menger property are examined. In this way we complement the study of weak covering properties defined by selection principles.