Tetiana Rybalkina, Vladimir V. Sergeichuk
Abstract
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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.
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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.
Key concepts: Topological conjugacy, Homeomorphism (graph theory), Mathematics, Conjugacy class, Conjugate, Pure mathematics, Topology (electrical circuits), Combinatorics