| Title Transcription | キョリ クウカン ノ カサン ワ デアル ソウケイ クウカン ノ ゼッタイ キンボウ レトラクト
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| Title Alternative (English) | ANR of σ-Metric Stratifiable Spaces
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| File | |
| language |
eng
|
| Author |
Guo, Bao-Lin
Miwa, Takuo
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| Description | For a real vector space E, the second author introduced the locally convex topology T in [15] such that (E, T) is the strongest locally convex topology contained in the finite topology. In this paper, we shall prove the following.
(1) (E, T) is a σ-metric stratifiable space. (2) For any σ-metric stratifiable space X, X can be embedded in a AR (σ-metric stratifiable)-space as a closed subset. (3) For each natural number n, the fundamental subspace E_n of (E , T) is AE(stratifiable). (4) For any σ-metric stratifiable space X, X is AR(σ-metric stratifiable) (resp. ANR) if and only if X is AE(σ-metric stratifiable) (resp. ANE). |
| Journal Title |
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 23
|
| Start Page | 23
|
| End Page | 31
|
| ISSN | 03879925
|
| Published Date | 1989-12-25
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| NCID | AN00108106
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| Publisher | 島根大学理学部
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| Publisher Aalternative | The Faculty of Science, Shimane University
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| NII Type |
Departmental Bulletin Paper
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| OAI-PMH Set |
Faculty of Science and Engineering
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| 他の一覧 |
