Abstract

It is proved that the Freudenthal compactification of an open, connected, oriented 3-manifold is a 3-fold branched covering of S3, and in some cases, a 2-fold branched covering of S3. The branching set is a locally finite disjoint union of strings. La compactificacion de Freudenthal de una 3-variedad abierta conexa y orientable es una cubierta de 3 hojas ramificada sobre S3 y, en ciertos casos, de dos hojas. La ramificacion es una union localmente finita y disjunta de cuerdas.

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