Remarks on star weakly Lindelöf spaces

Autor: Yan-Kui Song, Wei-Feng Xuan
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Quaestiones Mathematicae; Vol. 46 No. 1 (2023); 73-83
ISSN: 1607-3606
1727-933X
Popis: Let P be a topological property. A space X is said to be star P if whenever U is an open cover of X, there exists a subspace A ⊆ X with property P such that X = St(A,𝒰), where St(A,𝒰) = ⋃ {U ∈ 𝒰 : U ∩ A ≠ ∅}. In this paper, we investigate the relationships among star Lindelöf spaces, star almost Lindelöf spaces and star weakly Lindelöf spaces, and also study topological properties of star weakly Lindelöf spaces.
Databáze: OpenAIRE