Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2504

 Title: Criterion of Normality of the Completely Regular Topology of Separate Continuity Authors: Grinshpon, Yakov S. Keywords: Separate ContinuityNormalityCollectionwise NormalityScattered SpacesCech-Complete SpacesZero-Dimensional SpacesParacompactnessLocally Compact Spaces Issue Date: 2006 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 32, No 1, (2006), 57p-62p Abstract: For given completely regular topological spaces X and Y, there is a completely regular space X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately continuous if and only if f : X ~⊗ Y→ Z is continuous. We prove a necessary condition of normality, a sufficient condition of collectionwise normality, and a criterion of normality of the products X ~⊗ Y in the case when at least one factor is scattered. Description: 2000 Mathematics Subject Classification: 54C10, 54D15, 54G12. URI: http://hdl.handle.net/10525/2504 ISSN: 1310-6600 Appears in Collections: Volume 32, Number 1

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