Fe b 20 05 Projective limits associated with F 2 n unimodal mappings
نویسنده
چکیده
We investigate a projective limit space associated with an F2n unimodal mapping consisting of two hyperbolae. We show that in case n = 0 this limit is homeomorphic to an interval, in case n = 1 it is homeomorphic to sum of the interval {0}× [−1, 1] and the graph of the function sin 1 x , x ∈ [0, 1], and in case n = 3 it is a more complicated subspace of R3 endowed with a specific geometrical beauty. 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. AMS Subject Classification: 37E05, 47L40
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تاریخ انتشار 2005