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April, 2000 Feuilletages et topologie spectrale
Ezzeddine BOUACIDA, Othman ECHI, Ezzeddine SALHI
J. Math. Soc. Japan 52(2): 447-464 (April, 2000). DOI: 10.2969/jmsj/05220447


Let F be a codimension-one foliation, transversally oriented, of class Cr(r0) on a connected closed manifold M. The class of a leaf F of F is defined to be the union of all leaves G with F¯=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 R or to S1. In this paper we prove that if the level of F is well defined (in the sense of [12]), then X-X0 is a spectral space.


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Ezzeddine BOUACIDA. Othman ECHI. Ezzeddine SALHI. "Feuilletages et topologie spectrale." J. Math. Soc. Japan 52 (2) 447 - 464, April, 2000.


Published: April, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0965.57025
MathSciNet: MR1742794
Digital Object Identifier: 10.2969/jmsj/05220447

Primary: 54A10 , 54B35 , 57R30

Keywords: Foliation , leaf , spectrum of a ring , Zariski topology

Rights: Copyright © 2000 Mathematical Society of Japan


Vol.52 • No. 2 • April, 2000
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