Feuilletages et topologie spectrale

• BOUACIDA Ezzeddine

  Département de Mathématiques Faculté des Sciences de Sfax

• ECHI Othman

  Department of Mathematics College of Teachers Riyadh

• SALHI Ezzeddine

  Département de Mathématiques Faculté des Sciences de Sfax

抄録

Let \mathscr{F} be a codimension-one foliation, transversally oriented, of class C^r (r≥q 0) on a connected closed manifold M. The class of a leaf F of \mathscr{F} is defined to be the union of all leaves G with overline{F}=overline{G}. Let X be the space of classes of leaves in M and let X₀ be the union of open subsets of X which are homeomorphic to \bm{R} or to S¹. In this paper we prove that if the level of \mathscr{F} is well defined (in the sense of [{12}]), then X-X₀ is a spectral space.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 52 (2), 447-464, 2000

  一般社団法人 日本数学会

キーワード

• Foliation
• leaf
• spectrum of a ring
• Zariski topology

詳細情報

• CRID: 1390282680092710656
• NII論文ID: 10004480360
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/05220447
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1742794
• NDL書誌ID: 5374870
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5374870
• 本文言語コード: en
• データソース種別:
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  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可