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Foldings and monomorphisms

Published online by Cambridge University Press:  20 January 2009

R. Z. Goldstein
R. Z. Goldstein
Affiliation:
Department of Mathematics, State University of New York at Albany Albany NY 12222 U.S.A. E-mail: [email protected]
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Abstract

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In this paper we generalize the folding process initiated by Stallings for graphs to a class of generalized covering spaces. These spaces are called pinched coverings or pinched cores, depending on the particular situation. We then apply our generalized folding process to manipulate these spaces into actual coverings. By using elementary homotopy arguments, we can calculate the fundamental groups of these spaces. As a corollary to our main result we obtain a generalization of a result due to Gersten concerning monomorphisms between free products of groups.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 51 - 56
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

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3. Stallings, J., Topology of finite graphs, Invent. Math. 71 (1983), 551–565.CrossRefGoogle Scholar