Embedded surfaces in the 3-torus

Allan L. Edmonds

Fundamenta Mathematicae (2008)

  • Volume: 199, Issue: 3, page 195-212
  • ISSN: 0016-2736

Abstract

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Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the more involved case when the surface is nonorientable.

How to cite

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Allan L. Edmonds. "Embedded surfaces in the 3-torus." Fundamenta Mathematicae 199.3 (2008): 195-212. <http://eudml.org/doc/282657>.

@article{AllanL2008,
abstract = {Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the more involved case when the surface is nonorientable.},
author = {Allan L. Edmonds},
journal = {Fundamenta Mathematicae},
keywords = {3-torus; embedding; map homotopic to embedding},
language = {eng},
number = {3},
pages = {195-212},
title = {Embedded surfaces in the 3-torus},
url = {http://eudml.org/doc/282657},
volume = {199},
year = {2008},
}

TY - JOUR
AU - Allan L. Edmonds
TI - Embedded surfaces in the 3-torus
JO - Fundamenta Mathematicae
PY - 2008
VL - 199
IS - 3
SP - 195
EP - 212
AB - Those maps of a closed surface to the three-dimensional torus that are homotopic to embeddings are characterized. Particular attention is paid to the more involved case when the surface is nonorientable.
LA - eng
KW - 3-torus; embedding; map homotopic to embedding
UR - http://eudml.org/doc/282657
ER -

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