Generalized slit plane: Difference between revisions

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(New page: {{generic simply connected domain}} ==Definition== A '''generalized slit plane''' is a domain <math>U \subset \mathbb{C}</math> such that <math>U</math> is the set-theoretic compleme...)
 
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Latest revision as of 19:13, 18 May 2008

Template:Generic simply connected domain

Definition

A generalized slit plane is a domain such that is the set-theoretic complement in of a simple ray going to infinity. Typically, we assume that the ray starts at zero. An example is the slit plane obtained by removing the non-positive real axis.