A 3-manifold which is not a product
Epstein, D. B. A.; Scott, G. P.; Epstein D. B. A.; University of Warwick and University of Liverpool; Scott G. P.; University of Warwick and University of Liverpool
Журнал:
Mathematical Proceedings of the Cambridge Philosophical Society
Дата:
1973
Аннотация:
The purpose of this note is to construct a non-compact 3-manifold M with the following properties:(i) M is orientable and irreducible(ii) ∂M is connected and compact and its inclusion in M is a homotopy equivalence(iii) M is not homeomorphic to ∂M × R<sub>+</sub>.(Throughout this paper, all manifolds will be PL and all embeddings will be PL and locally flat.)
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