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This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants.

A guide to the qualitative theory of foliations. It features topics including: analysis on foliated spaces, characteristic classes of foliations and foliated manifolds. It is suitable as a supplementary text for a topics course at the advanced graduate level.

The first of two volumes on the qualitative theory of foliations, this comprehensive work has something to offer to a broad spectrum of readers, from beginners to advanced students and professional researchers. Offering illustrations and examples at varying degrees of difficulty, the text provides a full treatment of the theory of levels for foliated manifolds of codemension one.