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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 6, Pages 175–183
(Mi fpm1451)
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This article is cited in 2 scientific papers (total in 2 papers)
Topological classification of Möbius transformations
T. V. Rybalkina, V. V. Sergeichuk Institute of Mathematics, Ukrainian National Academy of Sciences, Ukraine
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 $g=h^{-1}\circ f\circ h$, in which $\circ$ is the composition of mappings.
Citation:
T. V. Rybalkina, V. V. Sergeichuk, “Topological classification of Möbius transformations”, Fundam. Prikl. Mat., 17:6 (2012), 175–183; J. Math. Sci., 193:5 (2013), 769–774
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https://www.mathnet.ru/eng/fpm1451 https://www.mathnet.ru/eng/fpm/v17/i6/p175
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Abstract page: | 352 | Full-text PDF : | 257 | References: | 45 | First page: | 2 |
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