Open 3-manifolds which are connected sums of closed ones - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2020

Open 3-manifolds which are connected sums of closed ones

Laurent Bessières
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Gérard Besson

Résumé

We consider open, oriented 3-manifolds which are infinite connected sums of closed 3-manifolds. We introduce some topological invariants for these manifolds and obtain a classification in the case where there are only finitely many summands up to diffeomorphism. This result encompasses both the Kneser-Milnor Prime Decomposition Theorem for closed 3-manifolds and the Kerékjártó-Richards classification theorem for open surfaces.
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Dates et versions

hal-02462552 , version 1 (31-01-2020)

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Laurent Bessières, Gérard Besson, Sylvain Maillot. Open 3-manifolds which are connected sums of closed ones. 2020. ⟨hal-02462552⟩
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