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http://hdl.handle.net/11320/21441| Tytuł: | Baire's Category Theorem and Some Spaces Generated from Real Normed Space |
| Autorzy: | Endou, Noboru Shidama, Yasunari Okamura, Katsumasa |
| Data wydania: | 2006 |
| Data dodania: | 5-lis-2026 |
| Wydawca: | University of Białystok |
| Źródło: | Formalized Mathematics, Volume 14, Issue 4, Pages 213-219 |
| Abstrakt: | As 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. |
| Afiliacja: | Noboru Endou - Gifu National College of Technology Gifu, Japan Yasunari Shidama - Shinshu University Nagano, Japan Katsumasa Okamura - Shinshu University Nagano, Japan |
| Sponsorzy: | This work has been partially supported by the MEXT grant Grant-in-Aid for Young Scientists (B)16700156. |
| URI: | http://hdl.handle.net/11320/21441 |
| DOI: | 10.2478/v10037-006-0024-x |
| ISSN: | 1426-2630 |
| e-ISSN: | 1898-9934 |
| Typ Dokumentu: | Article |
| metadata.dc.rights.uri: | https://creativecommons.org/licenses/by-sa/4.0/ |
| Właściciel praw: | © 2008 Noboru Endou, Yasunari Shidama, Katsumasa Okamura, published by University of Białystok This work is licensed under the Creative Commons License. |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2006, Volume 14, Issue 4 |
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| Baire's_Category_Theorem_and_Some_Spaces_Generated_from_Real_Normed_Space.pdf | 114,39 kB | Adobe PDF | Otwórz |
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