Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-19T14:20:42.005Z Has data issue: false hasContentIssue false

Asymptotic values of continuous functions in Euclidean space

Published online by Cambridge University Press:  24 October 2008

P. J. Rippon
Affiliation:
Faculty of Mathematics, Open University, Milton Keynes MK6 7AA

Extract

In this paper we generalize a result of Hayman 4, lemma 4 on asymptotic values of meromorphic functions, which can be stated as follows.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1992

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Armstrong, M. A.. Basic Topology (McGraw-Hill, 1979).Google Scholar
2Brannan, D. A.. On the behaviour of continuous functions near infinity. Complex Variables Theory Appl. 5 (1985), 221228.Google Scholar
3Falconer, K. J.. The Geometry of Fractal Sets (Cambridge University Press, 1985).CrossRefGoogle Scholar
4Hayman, W. K.. On Iversen's theorem for meromorphic functions with few poles. Acta Math. 141 (1978), 115145.CrossRefGoogle Scholar
5Whyburn, G. and Duda, E.. Dynamic Topology (Springer-Verlag, 1979).CrossRefGoogle Scholar