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

B. K. Kwasniewski
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Abstract

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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B. K. Kwasniewski. 2006-03-30. Inverse limit systems associated with F_2^n zero schwarzian unimodal mappings. https://arxiv.org/abs/math/0502584

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