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manuscripta mathematica

, Volume 104, Issue 1, pp 49–69 | Cite as

Cobordism of immersions of surfaces¶in non-orientable 3-manifolds

  • Rosa Gini

Abstract:

Some properties of non-orientable 3-manifolds are shown. In particular, for a connected, non-orientable 3-manifold M, the group of cobordism clases of immersions of surfaces in M is isomorphic to a group structure on the set H 2(M,Z/2ZH 1(M,Z/2ZZ/2Z.

Mathematics Subject Classification (2000): 57R42, 57R90 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Rosa Gini
    • 1
  1. 1.Dipartimento di Matematica, Università di Pisa, via Buonarroti, 2, 56127 Pisa, Italy. e-mail: gini@dm.unipi.itIT

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