Geodesic
A note on quasi-versions of selection principles
Filomat, Tome 37 (2023) no. 29, p. 10015

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DOI

In this paper, we introduce notions of hereditarily weakly selection principles and strongly quasi-selection principles and show that they are different from quasi-selection principles and weakly selection principles which are studied in [1]. By introducing the strongly quasi-separability, the quasi-separability and the weakly separability, we provide relations among these separable properties and weak versions of selection principles. These extend some results of G. Di Maio and Lj.D.R. Kočinac [1].
DOI : 10.2298/FIL2329015L
Classification : 54B20, 54D20
Keywords: Quasi-selection principle, Strongly quasi-selection principles, Weakly selection principles, Hereditarily weakly selection principle, Weakly dense set, Weakly separable, Quasi-separable, Strongly quasi-separable, Weak π-base, Countable spread, CCC, Quasi-1-star-Lindelöf, 1-star-Lindelöf 
Zuquan Li. A note on quasi-versions of selection principles. Filomat, Tome 37 (2023) no. 29, p. 10015 . doi: 10.2298/FIL2329015L
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     title = {A note on quasi-versions of selection principles},
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     doi = {10.2298/FIL2329015L},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2329015L/}
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