FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 6, PAGES 175-183

Topological classification of Möbius transformations

T. V. Rybalkina
V. V. Sergeichuk

Abstract

View as HTML     View as gif image

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 ° f ° h, in which $$° is the composition of mappings.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k116/k11605h.htm
Last modified: November 21, 2012