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Disconnection in the Alexandroff duplicate

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Disconnection in the Alexandroff duplicate

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dc.contributor.author Bhattacharjee, Papiya es_ES
dc.contributor.author Knox, Michelle L. es_ES
dc.contributor.author McGovern, Warren Wm. es_ES
dc.date.accessioned 2021-10-06T06:55:42Z
dc.date.available 2021-10-06T06:55:42Z
dc.date.issued 2021-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/173903
dc.description.abstract [EN] It was demonstrated in [2] that the Alexandroff duplicate of the Čech-Stone compactification of the naturals is not extremally disconnected. The question was raised as to whether the Alexandroff duplicate of a non-discrete extremally disconnected space can ever be extremally disconnected. We answer this question in the affirmative; an example of van Douwen is significant. In a slightly different direction we also characterize when the Alexandroff duplicate of a space is a P-space as well as when it is an almost P-space. 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 Extremally disconnected space es_ES
dc.subject Alexandroff duplicate es_ES
dc.subject P-space es_ES
dc.title Disconnection in the Alexandroff duplicate es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.14602
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Bhattacharjee, P.; Knox, ML.; Mcgovern, WW. (2021). Disconnection in the Alexandroff duplicate. Applied General Topology. 22(2):331-344. https://doi.org/10.4995/agt.2021.14602 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.14602 es_ES
dc.description.upvformatpinicio 331 es_ES
dc.description.upvformatpfin 344 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\14602 es_ES
dc.description.references P. Alexandrov and P. Urysohn, Memoire sur les espaces topologiques compacts, Verh. Akad. Wetensch. Amsterdam, 14 (1929), 1-96. es_ES
dc.description.references K. Almontashery and L. Kalantan, Results about the Alexandroff duplicate space, Appl. Gen. Topol. 17, no. 2 (2016), 117-122. https://doi.org/10.4995/agt.2016.4521 es_ES
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dc.description.references A. Caserta and S. Watson, The Alexandroff duplicate and its subspaces, Appl. Gen. Topol. 8, no. 2 (2007), 187-205. https://doi.org/10.4995/agt.2007.1880 es_ES
dc.description.references R. Engelking, On functions defined on Cartesian products, Fund. Math. 59 (1966), 221-231. https://doi.org/10.4064/fm-59-2-221-231 es_ES
dc.description.references L. Gillman and M. Jerison, Rings of Continuous Functions, Graduate Texts in Mathametics, vol. 43, Springer Verlag, Berlin-Heidelberg-New York, 1976. es_ES
dc.description.references E. van Douwen, Applications of maximal topologies, Topology Appl. 51 (1993), 125-139. https://doi.org/10.1016/0166-8641(93)90145-4 es_ES
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dc.description.references J. L. Verner, Lonely points revisited, Comment. Math. Univ. Carolin. 54, no. 1 (2013), 105-110. es_ES


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