Talk:Isolated singularity

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[edit] is it a singularity or isn't it?

"In complex analysis, a branch of mathematics, an isolated singularity is one that has no other singularities close to it.

Formally, a complex number z is an isolated singularity of a function f if there exists an open disk D centered at z such that f is holomorphic on D − {z}, that is, on the set obtained from D by taking z out."

Either it isn't a singularity, in which case the first sentence is wrong (as it implies that an isolated singularity is a singularity) or it is a singularity, in which case the second sentence is wrong (as it doesn't actually explicity say that it is an singularity, which it should if it is?)

I personally have always seen the description as not needing an isolated singularity to be a singularity (and it being a removable singularity if its Laurent series has no non-zero negative powers in), but this should be rectified one way or the other SetaLyas (talk) 16:47, 18 May 2008 (UTC)