UID:
almahu_9947921428902882
Format:
XII, 120 p.
,
online resource.
ISBN:
9783540399360
Series Statement:
Lecture Notes in Mathematics, 1827
Content:
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 systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.
Note:
Introduction -- Preliminaries -- Combinations -- Uniqueness of combinations -- Decompositions -- Uniqueness of decompositions -- Counting classes of annulus maps -- Applications to mapping class groups. Examples -- Canonical decomposition theorem.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540201731
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/b14147
URL:
Volltext
(URL des Erstveröffentlichers)
URL:
Volltext
(lizenzpflichtig)
