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math.GT2013
Topological description of Riemannian foliations with dense leaves
Jesús A. Álvarez López, Alberto Candel
A transitive compact foliated space is shown to be a Riemannian foliation if and only if it is locally connected, finite dimensional, strongly equicontinuous and quasi-analytic, an…
math.GT2013
Equicontinuous foliated spaces
Jesús A. Álvarez López, Alberto Candel
Some properties of Riemannian foliations on closed manifolds are generalized to compact equicontinuous foliated spaces. For instance, it is proved that all holonomy covers of the l…
math.MG2013
Algebraic characterization of quasi-isometric spaces via the Higson compactification
Jesús A. Álvarez López, Alberto Candel
The purpose of this article is to characterize the quasi-isometry type of a proper metric space via the Banach algebra of Higson functions on it.