A note on a novel type of Alster covering property in bitopological setting

Authors

NECATİ CAN AÇIKGÖZFollow
CEREN SULTAN ELMALIFollow

Author ORCID Identifier

NECATİ CAN AÇIKGÖZ: 0000-0002-4299-3472

CEREN SULTAN ELMALI: 0000-0002-2553-4733

Abstract

In this paper, we introduce a new type of Alster covering property in bitopological setting. We investigate its relations with other existing covering properties. By giving counterexamples, we indicate that our new property is different than other mentioned properties. We also construct some conditions for equivalences of those properties with the corresponding property. We also consider the preservation of this new form of bitopological Alster covering property. We investigate the productivity of bitopological nearly Lindelöfness and bitopological nearly Mengerness.

DOI

10.55730/1300-0098.3582

Keywords

Alster spaces, bitopological spaces, nearly Alster property, selection principles.

First Page

185

Last Page

200

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

AÇIKGÖZ, NECATİ CAN and ELMALI, CEREN SULTAN (2025) "A note on a novel type of Alster covering property in bitopological setting," Turkish Journal of Mathematics: Vol. 49: No. 2, Article 4. https://doi.org/10.55730/1300-0098.3582
Available at: https://journals.tubitak.gov.tr/math/vol49/iss2/4