On some iteration semigroups
Brzdęk, Janusz
Archivum Mathematicum, Tome 031 (1995), p. 37-42 / Harvested from Czech Digital Mathematics Library
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Let $F$ be a disjoint iteration semigroup of $C^n$ diffeomorphisms mapping a real open interval $I\ne \varnothing $ onto $I$. It is proved that if $F$ has a dense orbit possesing a subset of the second category with the Baire property, then $F=\lbrace f_t\:\,f_t(x)=f^{-1}(f(x)+t)\text{ for every }x\in I, t\in R\rbrace $ for some $C^n$ diffeomorphism $f$ of $I$ onto the set of all reals $R$. The paper generalizes some results of J.A.Baker and G.Blanton [3].

Publié le : 1995-01-01
Classification:  26A18,  39B12,  39B22 
@article{107522,
     author = {Janusz Brzd\k ek},
     title = {On some iteration semigroups},
     journal = {Archivum Mathematicum},
     volume = {031},
     year = {1995},
     pages = {37-42},
     zbl = {0834.39011},
     mrnumber = {1342373},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107522}
}

Brzdęk, Janusz. On some iteration semigroups. Archivum Mathematicum, Tome 031 (1995) pp. 37-42. http://gdmltest.u-ga.fr/item/107522/

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