Foliations of codimension one

Más información sobre el libro

InhaltsverzeichnisIV — Basic Constructions and Examples.1. General setting in co dimension one.2. Topological dynamics.3. Foliated bundles; examples.4. Gluing foliations together.5. Turbulization.6. Codimension-one foliations on spheres.V — Structure of Codimension-One Foliations.1. Transverse orientability.2. Holonomy of compact leaves.3. Saturated open sets of compact manifolds.4. Centre of a compact foliated manifold; global stability.VI — Exceptional Minimal Sets of Compact Foliated Manifolds; A Theorem of Sacksteder.1. Resilient leaves.2. The theorem of Denjoy-Sacksteder.3. Sacksteder’s theorem.4. The theorem of Schwartz.VII — One Sided Holonomy; Vanishing Cycles and Closed Transversals.1. Preliminaries on one-sided holonomy and vanishing cycles.2. Transverse foliation* of D2 × IR.3. Existence of one-sided holonomy and vanishing cycles.VIII — Foliations without Holonomy.1. Closed 1-forms without singularities.2. Foliations without holonomy versus equivariant fibrations.3. Holonomy representation and cohomology direction.IX — Growth.1. Growth of groups, homogeneous spaces and riemannian manifolds.2. Growth of leave in foliatoons on compact manifolds.X — Holonomy Invariant Measures.1. Invariant measures for subgroups of Homeo (?) or Homeo(S1).2. Foliations with holonomy invariant measure.