Deformation and mapping theorems
D. Bourgin (1959)
Fundamenta Mathematicae
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D. Bourgin (1959)
Fundamenta Mathematicae
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Karol Borsuk (1966)
Fundamenta Mathematicae
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Mariusz Koras (1993)
Compositio Mathematica
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Torsten Ekedahl (1988)
Publications Mathématiques de l'IHÉS
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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...
Marston Morse, J. Jenkins (1952)
Fundamenta Mathematicae
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K. Truyk (1955)
Annales Polonici Mathematici
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R. V. Gurjar, A. J. Parameswaran (1995)
Compositio Mathematica
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