Embedded surfaces in the 3-torus
Volume 199 / 2008
Fundamenta Mathematicae 199 (2008), 195-212 MSC: 57M99, 57R40. DOI: 10.4064/fm199-3-1
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.