| File | |
| Title |
距離空間の可算和である層型空間の絶対近傍レトラクト
|
| Title |
ANR of σ-Metric Stratifiable Spaces
|
| 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
|
| Creator |
Guo Bao-Lin
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 23 |
| Start Page | 23 |
| End Page | 31 |
| Journal Identifire |
ISSN 03879925
|
| Descriptions |
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). |
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1989-12-25 |
| Access Rights | open access |
| Relation |
[NCID] AN00108106
|
