References
F.Apéry, Models of the Projective Plane. Braunschweig 1987.
G. E. Bredon andJ. W. Wood, Non orientable surfaces in orientable 3-Manifolds. Invent. Math.7, 83–110 (1969).
G.Burde and H.Zieschang, Knots. Berlin 1985.
M. M.Cohen, A Course in Simple Homotopy Theory. Graduate Texts in Math. Berlin-Heidelberg-New York 1973.
W.End, Homotopy Types of 2-Manifolds. To appear.
D. B. A. Epstein, Curves on 2-Manifolds and Isotopies. Acta Math.115, 83–107 (1966).
J. Hass andJ. Hughes, Immersions of surfaces in 3-manifolds. Topology24, 97–112 (1985).
J.Hempel, 3-Manifolds. Ann. of Math. Stud.86, Princeton 1976.
M.Hirsch, Differential Topology. Berlin-Heidelberg-New York 1976.
W. Jaco, Surfaces embedded inM 2×S 1. Canad. J. Math.22, 335–346 (1970).
J. W.Milnor and D.Husemoller, Symmetric Bilinear Forms. Berlin-Heidelberg-New York 1973.
J. W.Milnor and J.Stasheff, Characteristic classes. Ann. of Math. Stud.76, Princeton 1974.
D.Rolfsen, Knots and Links. Berkley 1976.
H.Seifert and W.Threlfall, Topologie. New York 1934.
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Dieter Puppe zum 60. Geburtstag gewidmet
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End, W. Non-orientable surfaces in 3-manifolds. Arch. Math 59, 173–185 (1992). https://doi.org/10.1007/BF01190680
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DOI: https://doi.org/10.1007/BF01190680