Bundle Structure of the Homeomorphism Groups of Locally Compact Homogeneous Spaces
Bibliographic Information
- Other Title
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- Bundle Structure of the Homeomorphism G
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Abstract
The space ℋ(X) of homeomorphisms on a locally compact homogeneous space X with a local cross-section is a bundle space over X. If X is separable metrizable and admits a nontrivial flow in addition, then ℋ(X) is an l2-manifold if and only if X is an ANR and ℋ(X,a) is an l2-manifold, where ℋ(X,a) is the subspace of ℋ(X) consisting of all those which leave a point α of X fixed. If X is a locally connected, compact metrizable homogeneous space that is an ANR and admits a local cross-section and a nontrivial flow, then ℋ(X) is an l2-manifold if and only if ℋ(X-a) is an l2-manifold, where ℋ(X-a) is the space of homeomorphisms on X-a (a∈X).
長崎大学教育学部自然科学研究報告. vol.34, p.1-7; 1983
Journal
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- Science bulletin of the Faculty of Education, Nagasaki University
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Science bulletin of the Faculty of Education, Nagasaki University 34 1-7, 1983-02-28
長崎大学教育学部
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Details 詳細情報について
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- CRID
- 1050005822286771840
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- NII Article ID
- 40002768726
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- NII Book ID
- AN00178280
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- ISSN
- 0386443X
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- HANDLE
- 10069/32558
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- NDL BIB ID
- 2585513
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- Text Lang
- en
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- Article Type
- departmental bulletin paper
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- Data Source
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- IRDB
- NDL
- CiNii Articles