A classification of inverse limit spaces of tent maps with periodic critical points
Lois Kailhofer
Abstract
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Lois Kailhofer
Abstract
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We work within the one-parameter family of symmetric tent maps, where the slope is the parameter. Given two such tent maps $f_a$, $f_b$ with periodic critical points, we show that the inverse limit spaces $({\mathbb I}_a,f_a)$ and $({\mathbb I}_b,g_b)$ a
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We work within the one-parameter family of symmetric tent maps, where the slope is the parameter. Given two such tent maps $f_a$, $f_b$ with periodic critical points, we show that the inverse limit spaces $({\mathbb I}_a,f_a)$ and $({\mathbb I}_b,g_b)$ a
Key concepts: Mathematics, Inverse limit, Inverse, Tent map, Limit (mathematics), Periodic point, Pure mathematics, Mathematical analysis