Special positions for surfaces bounded by closed braids.
Lee Rudolph (1985)
Revista Matemática Iberoamericana
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Lee Rudolph (1985)
Revista Matemática Iberoamericana
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A. Kirkor (1974)
Fundamenta Mathematicae
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Li, Tao (2002)
Geometry & Topology
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J. Carter, Masahico Saito (1998)
Banach Center Publications
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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...
Allan L. Edmonds (2008)
Fundamenta Mathematicae
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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.
Li, Tao (2002)
Geometry & Topology
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Maher, Joseph (2005)
Geometry & Topology
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W. Jakobsche (1983)
Fundamenta Mathematicae
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Costantino, F. (2002)
Rendiconti del Seminario Matematico
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Nelson, Roger B. (1994)
International Journal of Mathematics and Mathematical Sciences
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Aigon-Dupuy, Aline (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Arés Gastesi, Pablo (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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