DCCC and Meta-Lindelöf like Characterization of Star-Lindelöf Bitopological Spaces

Abstract

$(\tau_1,\tau_2)$-star-Lindelöfness ensures that for every pair $(\mathcal U_1 \subseteq \tau_1,\mathcal U_2 \subseteq \tau_2)$ of open covers, a countable subcover of $\mathcal U_1$, can spread through $\mathcal U_2 $ via the star operation to cover the entire bitopological space $(X,\tau_1,\tau_2)$. Giving a positive answers to the questions of Choudhury et. al. [12], DCCC and meta-Lindelöf like characterization of star-Lindelöf bitopological spaces are presented in this paper. It has been established that a JDCCC bitopological space is both $(\tau_1,\tau_2)$-2-star-Lindelöf and $(\tau_2,\tau_1)$-2-star-Lindelöf. And if a bitopological space which is both $(\tau_1,\tau_2)$-$n$-star-Lindelöf ($n \in \mathbb N$) and $(\tau_1,\tau_2)$-meta-Lindelöf, then $(X, \tau_2)$ is $(n-1)$-star Lindelöf ($0$-star-Lindelöfness represents Lindelöfness).

Key words: Star-Lindelöf, bitopological space, DCCC property, meta-Lindelöf.

Full Text

Article Information

Title	DCCC and Meta-Lindelöf like Characterization of Star-Lindelöf Bitopological Spaces
Source	Methods Funct. Anal. Topology, Vol. 32 (2026), no. 1, 53-57
DOI	10.31392/MFAT-npu26_1.2026.06
Milestones	Received 01/04/2025; Revised 21/08/2025
Copyright	The Author(s) 2026 (CC BY-SA)

Authors Information

Prasenjit Bal
Department of Mathematics, ICFAI University Tripura, Kamalghat, INDIA-799210.

Citation Example

Prasenjit Bal, DCCC and Meta-Lindelöf like Characterization of Star-Lindelöf Bitopological Spaces, Methods Funct. Anal. Topology 32 (2026), no. 1, 53-57.

BibTex

@article {MFAT2211,
    AUTHOR = {Prasenjit Bal},
     TITLE = {DCCC and Meta-Lindelöf  like Characterization of Star-Lindelöf Bitopological Spaces},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {32},
      YEAR = {2026},
    NUMBER = {1},
     PAGES = {53-57},
      ISSN = {1029-3531},
       DOI = {10.31392/MFAT-npu26_1.2026.06},
       URL = {https://mfat.imath.kiev.ua/article/?id=2211},
}

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