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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

(1)Fox, R. and Neuwirth, L.The Braid groups. Math. Scand. 10 (1962), 119–126.CrossRefGoogle Scholar
(2)Hilton, P. and Wylie, S.Homology theory (Cambridge, 1962).Google Scholar
(3)Michael, E.Cuts. Acta Math. 111 (1964), 1–36.CrossRefGoogle Scholar
(4)Seifert, H. and Threlfall, W.Lehrbuch der Topologie (Teubner; Berlin, 1934).Google Scholar
(5)Zeeman, E.Combinatorial topology (Mimeographed notes; 1963).Google Scholar