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dc.contributor.authorEndou, Noboru-
dc.contributor.authorShidama, Yasunari-
dc.contributor.authorOkamura, Katsumasa-
dc.date.accessioned2026-11-05T10:28:37Z-
dc.date.available2026-11-05T10:28:37Z-
dc.date.issued2006-
dc.identifier.citationFormalized Mathematics, Volume 14, Issue 4, Pages 213-219pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/21441-
dc.description.abstractAs application of complete metric space, we proved a Baire's category theorem. Then we defined some spaces generated from real normed space and discussed each of them. In the second section, we showed the equivalence of convergence and the continuity of a function. In other sections, we showed some topological properties of two spaces, which are topological space and linear topological space generated from real normed space.pl
dc.description.sponsorshipThis work has been partially supported by the MEXT grant Grant-in-Aid for Young Scientists (B)16700156.pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rightsCC BY-SA 4.0-
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleBaire's Category Theorem and Some Spaces Generated from Real Normed Spacepl
dc.typeArticlepl
dc.rights.holder© 2008 Noboru Endou, Yasunari Shidama, Katsumasa Okamura, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons License.pl
dc.identifier.doi10.2478/v10037-006-0024-x-
dc.description.AffiliationNoboru Endou - Gifu National College of Technology Gifu, Japanpl
dc.description.AffiliationYasunari Shidama - Shinshu University Nagano, Japanpl
dc.description.AffiliationKatsumasa Okamura - Shinshu University Nagano, Japanpl
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dc.identifier.eissn1898-9934-
dc.description.volume14pl
dc.description.issue4pl
dc.description.firstpage213pl
dc.description.lastpage219pl
dc.identifier.citation2Formalized Mathematicspl
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