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Manifolds of homotopy type K(π, 1). II

Published online by Cambridge University Press:  24 October 2008

F. E. A. Johnson
F. E. A. Johnson
Affiliation:
Department of Mathematics, University College London
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Extract

The following Conjecture was made in (6).

CONJECTURE A. Let Xn be a closed manifold of type K(π, 1). Then X˜n is homeornorphic to.

In section 4, we prove the conjecture when n ≥ 5 and π is a non-trivial direct product. More general than Conjecture A would be

CONJECTURE B. Let Xn be a manifold of type K(π, 1) with ∂X = Ø. Then X˜n is homeomorphic to.

In section 4 we give an example to show that Conjecture B is false in each dimension n ≥ 4.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 75 , Issue 2 , March 1974 , pp. 165 - 173
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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