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Relative Collectionwise Normality

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Relative Collectionwise Normality

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dc.contributor.author Grabner, Eliser es_ES
dc.contributor.author Grabner, Gary es_ES
dc.contributor.author Miyazaki, Kazumi es_ES
dc.contributor.author Tartir, Jamal es_ES
dc.date.accessioned 2017-06-08T07:18:50Z
dc.date.available 2017-06-08T07:18:50Z
dc.date.issued 2004-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/82559
dc.description.abstract [EN] In this paper we study properties of relative collectionwise normality type based on relative properties of normality type introduced by Arhangel’skii and Genedi. Theorem Suppose Y is strongly regular in the space X. If Y is paracompact in X then Y is collectionwise normal in X. Example A T2 space X having a subspace which is 1− paracompact in X but not collectionwise normal in X. Theorem Suppose that Y is s- regular in the space X. If Y is metacompact in X and strongly collectionwise normal in X then Y is paracompact in X. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Paracompact es_ES
dc.subject Collectionwise norma es_ES
dc.subject Relative topological properties es_ES
dc.title Relative Collectionwise Normality es_ES
dc.type Artículo es_ES
dc.date.updated 2017-06-08T06:35:31Z
dc.identifier.doi 10.4995/agt.2004.1970
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Grabner, E.; Grabner, G.; Miyazaki, K.; Tartir, J. (2004). Relative Collectionwise Normality. Applied General Topology. 5(2):199-212. https://doi.org/10.4995/agt.2004.1970 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2004.1970 es_ES
dc.description.upvformatpinicio 199 es_ES
dc.description.upvformatpfin 212 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 5
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references A. Arhangel'skii, "From classic topological invariants to relative topological properties", Scientiae Math. Japonicae 55 No 1 (2002), 153-201. es_ES
dc.description.references A. Arhangel'skii and H Genedi, "Beginnings of the theory of relative topological properties", Gen. Top. Spaces and Mappings (MGU, Moscow, 1989), 3-48 (in Russian). es_ES
dc.description.references A. Arhangel'skii and H Genedi, "Position of subspaces in spaces: relative versions of compactness, Lindel¨of properties, and separation axioms", Vestnik Moskovskogo Universiteta, Mathematika 44 No. 6 (1989), 67-69. es_ES
dc.description.references A. Arhangel'skii and I. Gordienko, "Relative symmetrizability and metrizability", Comment. Math. Univ. Carol. 37 No 4 (1996), 757-774. es_ES
dc.description.references R. Engelking, "General Topology" (PWN, Warsaw, 1977). es_ES
dc.description.references I. Gordienko, "On Relative Properties of Paracompactness and Normality Type", Moscow Univ. Nath. Bul. 46 No. 1 (1991), 31-32. es_ES
dc.description.references E. Grabner, G. Grabner and K. Miyazaki, " Properties of relative metacompactness and paracompactness type", Topology Proc. 25 (2000), 145-178. es_ES
dc.description.references K. Miyazaki, "On relative paracompactness and characterizations of spaces by relative topological properties", Math. Japonica 50 (1999), 17-23. es_ES
dc.description.references Smith, J. C., & Krajewski, L. L. (1971). Expandability and Collectionwise Normality. Transactions of the American Mathematical Society, 160, 437. doi:10.2307/1995819 es_ES
dc.description.references Y. Yasui, "Results on relatively countably paracompact spaces", Q and A in Gen. Top. 17 (1999), 165-174. es_ES


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