Representing open 3-manifolds as 3-fold branched coverings.

José María Montesinos-Amilibia

Revista Matemática Complutense (2002)

  • Volume: 15, Issue: 2, page 533-542
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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Montesinos-Amilibia, José María. "Representing open 3-manifolds as 3-fold branched coverings.." Revista Matemática Complutense 15.2 (2002): 533-542. <http://eudml.org/doc/44368>.

@article{Montesinos2002,
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.},
author = {Montesinos-Amilibia, José María},
journal = {Revista Matemática Complutense},
keywords = {Recubrimientos topológicos; Variedades topológicas; 3-variedades; simple coverings; open 3-manifolds; Freudenthal compactification},
language = {eng},
number = {2},
pages = {533-542},
title = {Representing open 3-manifolds as 3-fold branched coverings.},
url = {http://eudml.org/doc/44368},
volume = {15},
year = {2002},
}

TY - JOUR
AU - Montesinos-Amilibia, José María
TI - Representing open 3-manifolds as 3-fold branched coverings.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 2
SP - 533
EP - 542
AB - 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 - eng
KW - Recubrimientos topológicos; Variedades topológicas; 3-variedades; simple coverings; open 3-manifolds; Freudenthal compactification
UR - http://eudml.org/doc/44368
ER -

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