Asymptotic tracts of locally univalent functions

Barth, Karl F. and Rippon, Philip J. (2002). Asymptotic tracts of locally univalent functions. Bulletin of the London Mathematical Society, 34 pp. 200–204.

DOI: https://doi.org/10.1112/s0024609301008815

Abstract

Several results are proved which are related to an old problem of G.R. MacLane, namely, whether functions in the class that are locally univalent can have arc tracts. In particular, a proof is given of an assertion of MacLane that if is locally univalent and has no arc tracts, then .

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