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Topological invariants for semigroups of holomorphic self-maps of the unit disc
Let , be two one-parameter semigroups of holomorphic
self-maps of the unit disc . Let be a homeomorphism. We prove that, if for all , then extends to a homeomorphism of
outside exceptional maximal contact arcs (in particular, for
elliptic semigroups, extends to a homeomorphism of ).
Using this result, we study topological invariants for one-parameter semigroups
of holomorphic self-maps of the unit disc.Comment: 28 pages, final version, to appear in J. Math. Pures App
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