Barth, Karl F. and Rippon, Philip J.
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G.R. MacLane posed the question of whether a locally univalent function in the MacLane class can have an arc tract. We show that the behaviour of any such example must be extremely irregular. We also indicate one possible approach to constructing an example of such a function, which relates MacLane's question to the `type problem' for certain Riemann surfaces.
|Item Type:||Journal Article|
|Keywords:||MacLane class; locally univalent; arc tract; type problem; Asymptotic tract; Koebe arcs; Riemann surface|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Philip Rippon|
|Date Deposited:||29 Jun 2006|
|Last Modified:||02 Dec 2010 19:50|
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