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Towards a higher-dimensional MacLane class

Published online by Cambridge University Press:  24 October 2008

P. J. Rippon
P. J. Rippon
Affiliation:
Department of Pure Mathematics, Open University, Milton Keynes MK7 6AA
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Extract

Let D be a bounded region in ℝm, m ≥ 2. We say that a function u defined in D has asymptotic value α if there is a boundary path Γ:x(t), 0≤t<1, in D (that is, dist (x(t), ∂D)→0 as t→1), such that u(x(t))→α as t→1. If in addition, x(t)→ξ as t→1, then u has asymptotic value α at ξ.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 4 , May 1996 , pp. 665 - 671
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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