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

Abstract

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.

Journal

• Journal of the Mathematical Society of Japan

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

  The Mathematical Society of Japan

Keywords

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

Details

• CRID: 1390282680092710656
• NII Article ID: 10004480360
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05220447
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1742794
• NDL BIB ID: 5374870
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5374870
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed