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On function spaces related to d-spaces

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dc.contributor.authorLiu, Bei
dc.contributor.authorLi, Qingguo
dc.contributor.authorHo, Weng Kin
dc.date.accessioned2022-01-13T02:18:20Z
dc.date.available2022-01-13T02:18:20Z
dc.date.issued2021
dc.description.abstractFor certain property ℜ of topological <math><msub is="true"><mrow is="true"><mi is="true">T</mi></mrow><mrow is="true"><mn is="true">0</mn></mrow></msub></math>-spaces, we prove that if <math><msub is="true"><mrow is="true"><mi is="true">T</mi></mrow><mrow is="true"><mn is="true">0</mn></mrow></msub></math>-space <math><mi mathvariant="double-struck" is="true">Y</mi></math> has property ℜ, then <math><mo stretchy="false" is="true">[</mo><mi mathvariant="double-struck" is="true">X</mi><mo is="true">,</mo><mi mathvariant="double-struck" is="true">Y</mi><mo stretchy="false" is="true">]</mo></math> endowed with the Isbell topology possesses ℜ for any <math><msub is="true"><mrow is="true"><mi is="true">T</mi></mrow><mrow is="true"><mn is="true">0</mn></mrow></msub></math>-space <math><mi mathvariant="double-struck" is="true">X</mi></math> ; and if <math><mi mathvariant="double-struck" is="true">X</mi></math> has property ℜ for some non-empty space <math><mi mathvariant="double-struck" is="true">X</mi></math>, then so does <math><mi mathvariant="double-struck" is="true">Y</mi></math>.en
dc.identifier.citationLiu, B., Li, Q., & Ho, W. K. (2021). On function spaces related to d-spaces. Topology and its Applications, 300, Article 107757. https://doi.org/10.1016/j.topol.2021.107757en
dc.identifier.doi10.1016/j.topol.2021.107757
dc.identifier.issn0166-8641
dc.identifier.urihttps://hdl.handle.net/10497/23576
dc.language.isoenen
dc.relation.ispartofTopology and its Applicationsen
dc.subject.keywordFunction spacesen
dc.subject.keywordd-spaceen
dc.subject.keywordInjective spacesen
dc.subject.keywordΔ-spaceen
dc.titleOn function spaces related to d-spacesen
dc.typeArticleen
dspace.entity.typePublication
local.message.claim2022-01-13T10:29:31.089+0800|||rp00120|||submit_approve|||dc_contributor_author|||None*
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