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DCフィールド | 値 | 言語 |
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dc.contributor.author | Aoyama, Takanobu | en |
dc.contributor.alternative | 青山, 昂頌 | ja |
dc.contributor.transcription | アオヤマ, タカノブ | ja-Kana |
dc.date.accessioned | 2021-11-25T08:26:04Z | - |
dc.date.available | 2021-11-25T08:26:04Z | - |
dc.date.issued | 2021-09 | - |
dc.identifier.uri | http://hdl.handle.net/2433/266202 | - |
dc.description.abstract | We consider a lattice isomorphism between the lattice of topologies on linear spaces whose dimensions are at least two over Hausdorff topological fields. By using a result of J. Hartmanis (1958), we show that if the image of the set of linear topologies on the domain space by the lattice isomorphism coincides with the set of linear topologies on the target space, then the coefficient fields are isomorphic and the linear spaces are semi-linear isomorphic. Moreover, such a lattice isomorphism or a composition of a involution with the lattice isomorphism is induced by a composition of a linear translation with the semi-linear isomorphism. | en |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject.ndc | 410 | - |
dc.title | On lattice isomorphisms between lattice of topologies on linear spaces (New developments of transformation groups) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2199 | - |
dc.identifier.spage | 34 | - |
dc.identifier.epage | 41 | - |
dc.textversion | publisher | - |
dc.sortkey | 06 | - |
dc.address | Department of Mathematics, Graduate School of Science, Osaka University | en |
dc.address.alternative | 大阪大学 | ja |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 1880-2818 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2199 変換群論の新展開 |
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