isolated singularity
Let denote the Riemann sphere, and let be open. Let be a function. We say that is an isolated singularity of if there exists an open set containing and such that is analytic on .
In other , if we take the set of points in where is not analytic, the isolated singularities are exactly the isolated points of in the usual topological sense.
There are three kinds of isolated singularities:
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poles
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Title | isolated singularity |
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Canonical name | IsolatedSingularity |
Date of creation | 2013-03-22 14:01:04 |
Last modified on | 2013-03-22 14:01:04 |
Owner | bwebste (988) |
Last modified by | bwebste (988) |
Numerical id | 10 |
Author | bwebste (988) |
Entry type | Definition |
Classification | msc 30-00 |