On discrete reflexivity of Lindelöf degree and pseudocharacter

On discrete reflexivity of Lindelöf degree and pseudocharacter

We establish that any Hausdorff discretely κ-Lindelöf space X must be κ-Lindelöf if t(X)≤κ. Besides, in κ-Lindelöf spaces whose tightness does not exceed κ, the property of having pseudocharacter ≤κ must be discretely reflexive. Under the hypothesis c

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Veröffentlicht in:Topology and its applications 2021-08, Vol.300, p.107764, Article 107764
Hauptverfasser: Alas, O.T., Tkachuk, V.V., Wilson, R.G.
Format: Artikel
Sprache:eng
Schlagworte:
Caliber
Discrete reflexivity
Free sequence
Function space
Left-separated space
Lindelöf degree
Lindelöf Σ-space
Projective κ-density
Pseudocharacter
Right-separated space
Tightness
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Zusammenfassung:We establish that any Hausdorff discretely κ-Lindelöf space X must be κ-Lindelöf if t(X)≤κ. Besides, in κ-Lindelöf spaces whose tightness does not exceed κ, the property of having pseudocharacter ≤κ must be discretely reflexive. Under the hypothesis c
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2021.107764