Topological classification of Mobius transformations
Dynamical Systems
2014-03-12 v1 Representation Theory
Abstract
Linear fractional transformations on the extended complex plane are classified up to topological conjugacy. Recall that two transformations f and g are called topologically conjugate if there exists a homeomorphism h such that hg=fh.
Cite
@article{arxiv.1308.4224,
title = {Topological classification of Mobius transformations},
author = {Tetiana Rybalkina and Vladimir V. Sergeichuk},
journal= {arXiv preprint arXiv:1308.4224},
year = {2014}
}
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11 pages