Moonja JEONG and Masahiko TANIGUCHI

*The coefficient body of Bell representations of finitely connected planar domains*

### Abstract

In this note, we determine the homotopy type of the coefficient
body of Bell representations of non-degenerate n-connected planar domains
with n ≥ 3. Also, by considering the isomorphism classes of rational functions,
we get the precise number of those corresponding to Bell representations wth
the same set of critical values. Further, the case of those with the same set of
critical points is discussed.

submission: 22 March, 2004

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