Inverse limit systems associated with F_2^n zero schwarzian unimodal mappings

Details Inverse limit systems associated with F_2^n zero schwarzian unimodal mappings Inverse limit systems associated with F_2^n zero schwarzian unimodal mappings

2005-02-28

arxiv.org/abs/math/0502584v2

Bulletin de la Societe des Sciences et des Lettres de Lodz, Vol 55 (2005), pp. 83-109

Mathematics

Dynamical Systems

9 figures

Scientific paper

We present an illustrative example of an inverse limit space and a shift map associated with an F_2^n unimodal mapping consisting of two hyperbolae. Topologically, in case n=0 the limit space is an interval, in case n=1,2, it is a sin(1/x)-continuum, and in case n=3 it is a certain continuum endowed with a specific geometrical beauty. The dynamics of the shift map is also described. Operator algebraists may regard the constructed space as a spectrum of a commutative coefficient C*-algebra - an object which plays a role in crossed-product theory.

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