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

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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.

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Received: 8 June 2000 / Revised version: 2 October 2000

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Gini, R. Cobordism of immersions of surfaces¶in non-orientable 3-manifolds. manuscripta math. 104, 49–69 (2001). https://doi.org/10.1007/s002290170046

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  • DOI: https://doi.org/10.1007/s002290170046

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