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In-groups, coverings, and imbeddings

Published online by Cambridge University Press:  24 October 2008

Lee Neuwirth
Lee Neuwirth
Affiliation:
University of Princeton, U.S.A.
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Extract

Introduction. Let Mn+1 denote a closed, orientable, combinatorial (n + 1)-manifold. Let Kn denote an n-dimensional subcomplex of Mn+1. If Mn+1 – Kn is connected, then by ‘cutting’ Mn+1 along Kn we define in a natural way a fundaments domain of a certain regular covering of Mn+1. In case Kn is a spine ((5)) of Mn+1 the any covering space of Mn+1 may be constructed. This construction is quite precis and is combinatorial in spirit.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 3 , July 1965 , pp. 647 - 656
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

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