Titlebook: Generic Coarse Geometry of Leaves; Jesús A. Álvarez López,Alberto Candel Book 2018 Springer Nature Switzerland AG 2018 Asymptotic Dimensio

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Coarse Quasi-IsometriesThis chapter is devoted to the study of coarse quasi-isometries. Of particular interest is the coarse version of the Arzelà-Ascoli theorem.

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Some Classes of Metric SpacesIn this chapter we describe a variety of metric spaces whose quasi-isometry types include those of the leaves of compact foliated spaces.

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Growth of Metric SpacesIn this chapter we review the concept of growth of metric spaces and those of its properties required for our main theorems.

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Higson Corona and Asymptotic DimensionIn this chapter we review the construction of the Higson compactification (and corona) and the concept of asymptotic dimension for metric spaces.

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PseudogroupsIn this chapter we review several standard concepts and facts pertaining to pseudogroups. We also prove a coarse version of the Reeb local stability for pseudogroups.

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