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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
Title Alternative
ANR of σ-Metric Stratifiable Spaces
File
language
eng
Author
Guo, Bao-Lin
Miwa, Takuo
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
NCID
AN00108106
Publisher
島根大学理学部
Publisher Aalternative
The Faculty of Science, Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Shimane University
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