Combinations of Complex Dynamical Systems

This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical sys...

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Bibliographic Details
Main Author: Pilgrim, Kevin M.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2003, 2003
Edition:1st ed. 2003
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Preliminaries
  • Combinations
  • Uniqueness of combinations
  • Decompositions
  • Uniqueness of decompositions
  • Counting classes of annulus maps
  • Applications to mapping class groups. Examples
  • Canonical decomposition theorem