Weak extension theorem for measure-preserving homeomorphisms of noncompact manifolds

• YAGASAKI Tatsuhiko

  Division of Mathematics, Graduate School of Science and Technology, Kyoto Institute of Technology

抄録

In this paper we deduce weak type extension theorems for the groups of measure-preserving homeomorphisms of noncompact manifolds. As an application, we show that the group of measure-preserving homeomorphisms with compact support of a noncompact connected manifold, endowed with the Whitney topology, is locally contractible.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 61 (3), 687-721, 2009

  一般社団法人 日本数学会

キーワード

• group of measure-preserving homeomorphisms
• extension
• principal bundle
• Whitney topology
• sigma-compact manifolds

詳細情報

• CRID: 1390001205116231808
• NII論文ID: 10026998413
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06130687
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 10286777
• Web Site: http://id.ndl.go.jp/bib/10286777
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I10286777
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可