Riunet Móvil

Home Versión de escritorio

Some properties defined by relative versions of star-covering properties II

Mostrar el registro sencillo del ítem

dc.contributor.author Bonanzinga, Maddalena es_ES
dc.contributor.author Giacopello, Davide es_ES
dc.contributor.author Maesano, Fortunato es_ES
dc.date.accessioned 2023-11-15T07:22:43Z
dc.date.available 2023-11-15T07:22:43Z
dc.date.issued 2023-10-02
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/199682
dc.description.abstract [EN] In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star Menger and set strong star Hurewicz properties are between countable compactness and the property of having countable extent. Also we show that the extent of a regular set star Menger or a set star Hurewicz space cannot exceed c. Moreover, we construct (1) a consistent example of a set star Menger (set star Hurewicz) space which is not set strongly star Menger (set strongly star Hurewicz) and show that (2) the product of a set star Menger (set star Hurewicz) space with a compact space need not be set star Menger (set star Hurewicz). In particular, (1) and (2) answer some questions posed by Kočinac, Konca and Singh in [17] and [23]. es_ES
dc.description.sponsorship The research was supported by “National Group for Algebric and Geometric Structures, and their Applications” (GNSAGA-INdAM) es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Star compact es_ES
dc.subject Strongly star compact es_ES
dc.subject Star Lindelöf es_ES
dc.subject Strongly star Lindelöf es_ES
dc.subject Star Menger es_ES
dc.subject Strongly star Menger es_ES
dc.subject Star Hurewicz es_ES
dc.subject Strongly star Hurewicz es_ES
dc.subject Set properties es_ES
dc.title Some properties defined by relative versions of star-covering properties II es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2023.17926
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bonanzinga, M.; Giacopello, D.; Maesano, F. (2023). Some properties defined by relative versions of star-covering properties II. Applied General Topology. 24(2):391-405. https://doi.org/10.4995/agt.2023.17926 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2023.17926 es_ES
dc.description.upvformatpinicio 391 es_ES
dc.description.upvformatpfin 405 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 24 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\17926 es_ES
dc.description.references M. Bonanzinga, F. Cammaroto, and Lj.D.R. Kočinac, Star-Hurewicz and related properties, Applied General Topology 5, no. 1 (2004), 79-89. https://doi.org/10.4995/agt.2004.1996 es_ES
dc.description.references M. Bonanzinga, and F. Maesano, Some properties defined by relative versions of star-covering properties, Topology Appl. 306, no. 1 (2020), 107923. https://doi.org/10.1016/j.topol.2021.107923 es_ES
dc.description.references M. Bonanzinga, and M. V. Matveev, Products of star-Lindelöf and related spaces, Houston Journal of Mathematics 27, no. 1 (2001), 45-57. es_ES
dc.description.references M. Bonanzinga, and M.V. Matveev, Some covering properties for ψ-spaces, Mat. Vesnik 61 (2009), 3-11. es_ES
dc.description.references J. Casas-de la Rosa, S. A. Garcia-Balan, and P. J. Szeptycki, Some star and strongly star selection principles, Topolology Appl. 258 (2019), 572-587. https://doi.org/10.1016/j.topol.2017.11.034 es_ES
dc.description.references E. K. van Douwen, The integers and topology, in: K. Kunen, J.E. Vaughan (Eds.), Handbook of Set-Theoretic Topology, Elsevier Science Publishers B.V. 1984, 111-167. https://doi.org/10.1016/B978-0-444-86580-9.50006-9 es_ES
dc.description.references 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 es_ES
dc.description.references R. Engelking, General Topology, 2nd Edition, Sigma Ser. Pure Math., Vol. 6 Heldermann, Berlin, 1989. es_ES
dc.description.references W. M. Fleischman, A new extension of countable compactness, Fund. Math. 67 (1970), 1-9. https://doi.org/10.4064/fm-67-1-1-9 es_ES
dc.description.references S. Ikenaga, Topological concepts between "Lindelof" and "Pseudo-Lindelof", Research Reports of Nara National College of Technology 26 (1990), 103-108. es_ES
dc.description.references S. Ikenaga, A class which contains Lindelof spaces, separable spaces and countably compact spaces, Memories of Numazu College Technology, 02862794, Numazu College of Technology 18 (1983), 105-108. es_ES
dc.description.references S. Ikenaga, and T. Tani, On a topological concept between countable compactness and pseudocompactness, National Institute of Technology Numazu College research annual 15 (1980), 139-142. es_ES
dc.description.references Lj. D. R. Kočinac, Star-Menger and related spaces, Publ. Math. Debrecen 55, no. 3-4 (1999), 421-431. https://doi.org/10.5486/PMD.1999.2097 es_ES
dc.description.references Lj. D. R. Kočinac, Star-Menger and related spaces II, Filomat 13 (1999), 129-140. es_ES
dc.description.references Lj. D. R. Kočinac, and S. Konca, Set-Menger and related properties, Topology Appl. 275 (2020), 106996. https://doi.org/10.1016/j.topol.2019.106996 es_ES
dc.description.references Lj. D. R. Kočinac, S. Konca, and S. Singh, Variations of some star selection properties, AIP Conference Proceedings (2021), 2334. es_ES
dc.description.references https://doi.org/10.1063/5.0042301 es_ES
dc.description.references Lj. D. R. Kočinac, S. Konca, and S. Singh, Set star-Menger and set strongly star-Menger spaces, Math. Slovaka 72, no. 1 (2022), 185-196. https://doi.org/10.1515/ms-2022-0013 es_ES
dc.description.references Lj. D. R. Kočinac, and S. Singh, On the set version of selectively star-ccc spaces, Hindawi Journal of Mathematics 2020 (2020), Article ID 9274503. https://doi.org/10.1155/2020/9274503 es_ES
dc.description.references S. Konca, Weaker forms of some star selection properties, Konuralp Journal of Mathematics 9, no. 2 (2021), 245--249. es_ES
dc.description.references S. Konca, and Lj. D. R. Kočinac, Set-star Menger and related spaces, 6th International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM 2019), June 12-15, 2019, Istanbul, Turkey. 2019. es_ES
dc.description.references M. V. Matveev, How weak is weak extent, Topology Appl. 119 (2002), 229-232. https://doi.org/10.1016/S0166-8641(01)00061-X es_ES
dc.description.references M. Sakai, Star versions of the Menger property, Topology Appl. 170 (2014), 22-34. https://doi.org/10.1016/j.topol.2014.07.006 es_ES
dc.description.references S. Singh, Set-starcompact and related spaces, Afrika Mat. 32 (2021), 1389-1397. https://doi.org/10.1007/s13370-021-00906-5 es_ES
dc.description.references S. Singh, and Lj. Kočinac, Star versions of Hurewicz spaces, Hacet. J. Math. Stat. 50, no. 5 (2021), 1325-1333. https://doi.org/10.15672/hujms.819719 es_ES
dc.description.references Y. K. Song, Remarks on strongly star-Menger spaces, Comment. Math. Univ. Carolinae 54, no. 1 (2013), 97-104. es_ES
dc.relation.references 10.4995/agt.2004.1996 es_ES
dc.relation.references 10.1016/j.topol.2021.107923 es_ES
dc.relation.references 10.1016/j.topol.2017.11.034 es_ES
dc.relation.references 10.1016/B978-0-444-86580-9.50006-9 es_ES
dc.relation.references 10.1016/0166-8641(91)90077-Y es_ES
dc.relation.references 10.4064/fm-67-1-1-9 es_ES
dc.relation.references 10.5486/PMD.1999.2097 es_ES
dc.relation.references 10.1016/j.topol.2019.106996 es_ES
dc.relation.references 10.1063/5.0042301 es_ES
dc.relation.references 10.1515/ms-2022-0013 es_ES
dc.relation.references 10.1155/2020/9274503 es_ES
dc.relation.references 10.1016/S0166-8641(01)00061-X es_ES
dc.relation.references 10.1016/j.topol.2014.07.006 es_ES
dc.relation.references 10.1007/s13370-021-00906-5 es_ES
dc.relation.references 10.15672/hujms.819719 es_ES


Ficheros en el ítem

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem

 

Tema móvil para Riunet