Cellular-P spaces for some Lindelöf-type properties

• Martínez-Ruiz, Iván ^[1] ; Moreno-Espinoza, Cesar Alonzo ^[1] ; Ramírez Páramo, Alejandro ^[1]
  1. [1] Benemérita Universidad Autónoma de Puebla

     Benemérita Universidad Autónoma de Puebla

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 2, 2026
• Idioma: inglés
• DOI: 10.4995/agt.24535
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we study two classes of topological spaces: cellular-almost Lindelöf spaces and cellular-weakly Lindelöf spaces. We prove that the classes of cellular-Lindelöf, cellular weakly Lindelöf and cellular-almost Lindelöf are distinct. In addition, we present a comparative study of these classes.

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• Referencias bibliográficas
  • O. T. Alas, L. R. Junqueira, M. D. Passos, and R. G. Wilson, On cellular-compactness and related properties, Rev. R. Acad. Cienc. Exactas...
  • A. Bella and S. Spadaro, On the cardinality of almost discretely Lindelöf spaces, Monatsh. Math. 186 (2018), 345-353.https://doi.org/10.1007/s00605-017-1112-4
  • A. Bella and S. Spadaro, Cardinal invariants of cellular-Lindelöf spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 113 (2019),...
  • F. Cammaroto and G. Santoro, Some counterexamples and properties on generalizations of Lindelöf spaces, International Journal of Mathematics...
  • E. K. van Douwen, G. M. Reed, A. W. Roscoe, and I. J. Tree, Star covering properties, Topology Appl. 39 (1991), 71-103.https://doi.org/10.1016/0166-8641(91)90077-Y
  • A. Dow, An introduction to applications of elementary submodels to topology, Topology Proc. 13 (1988), 17-72.
  • A. Dow and R. M. Stephenson, Productivity of cellular-Lindelöf spaces, Topology Appl. 290 (2021), 107606.https://doi.org/10.1016/j.topol.2021.107606
  • R. Hodel, Cardinal functions I, in: K. Kunen, J. Vaughan (Eds.), Handbook of Set-Theoretic Topology, North-Holland, Amsterdam (1984), 1-61.https://doi.org/10.1016/B978-0-444-86580-9.50004-5
  • I. Juhász, L. Soukup, and Z. Szentmiklóssy, On cellular-compact spaces, Acta Math. Hungar. 162, no. 2 (2020), 549-556.https://doi.org/10.1007/s10474-020-01035-4
  • K. Kuratowski, Topology, vol. I, Academic Press, New York-London (1966).
  • A. D. Rojas-Sánchez and Á. Tamariz-Mascarúa, Spaces with star countable extent, Comment. Math. Univ. Carol. 57, no. 3 (2016), 381-395. https://doi.org/10.14712/1213-7243.2015.176
  • Y. K. Song and Y. Y. Zhang, Some remarks on almost Lindelöf spaces and weakly Lindelöf spaces, Mat. Vesnik 62, no. 1 (2010), 77-83.
  • P. Staynova, A comparison of Lindelöf-type covering properties of topological spaces, RHIT Under-grad. Math. J. 12 (2011), 164-204.
  • V. V. Tkachuk and R. G. Wilson, Cellular-compact spaces and their applications, Acta Math. Hungar. 159 (2019), 674-688.https://doi.org/10.1007/s10474-019-00968-9
  • V. V. Tkachuk, Weakly linearly Lindelöf spaces revisited, Topology Appl. 256 (2018), 128-135.https://doi.org/10.1016/j.topol.2019.02.001
  • W. F. Xuan and Y. K. Song, A study of cellular-Lindelöf spaces, Topology Appl. 251 (2019), 1-9.https://doi.org/10.1016/j.topol.2018.10.008
  • W. F. Xuan and Y. K. Song, More on cellular-Lindelöf spaces, Topology Appl. 266 (2019), 106861.https://doi.org/10.1016/j.topol.2019.106861