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A Topological Characterization of Conjugate Nets

Published online by Cambridge University Press:  20 November 2018

Paul A. Vincent
Paul A. Vincent*
Affiliation:
Université de Moncton, Moncton, Nouveau Brunswick
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One aspect of topological analysis that authors, such as G. T. Whyburn and Marston Morse, have pointed to ([16; 6] for instance) as being fundamental in the development of function theory is the topological study of the level sets of analytic and harmonic functions or of their topological analogues, light open maps and pseudo-harmonic functions. The first step in this direction seems to have been made by H. Whitney [14] when he studied families of curves, given abstractly using a condition of regularity.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 4 , 01 August 1977 , pp. 707 - 721
Copyright
Copyright © Canadian Mathematical Society 1977

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