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A remark on analytic continuation

Author(s): A. F. Beardon
Journal: Proc. Amer. Math. Soc. 128 (2000), 1389-1390.
MSC (1991): Primary 30B40
Posted: August 5, 1999
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Abstract: A simple example is given to show that the space of germs obtained by analytic continuation of a given germ need not be a covering space in the topological sense.

References:

1.
Ahlfors, L.V. and Sario, L., Riemann surfaces, Princeton, 1960. MR 22:5729

2.
Massey, W.S., Algebraic Topology: An Introduction, GTM 56, Springer-Verlag, 1967. MR 35:2271

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Additional Information:

A. F. Beardon
Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, England
Email: A.F.Beardon@dpmms.cam.ac.uk

DOI: 10.1090/S0002-9939-99-05129-1
PII: S 0002-9939(99)05129-1
Received by editor(s): April 21, 1998
Received by editor(s) in revised form: June 25, 1998
Posted: August 5, 1999
Communicated by: Frederick W. Gehring
Copyright of article: Copyright 2000, American Mathematical Society

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