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OALib Journal期刊
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Un continuo generado con el triángulo de Sierpinski usando límites inversos

Keywords: continua, inverse limit, iterated function system, sierpinski triangle, atractor, indecomposable continuum, dyadic solenoid, selfsimilarity, fractals.

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Abstract:

abstract. inverse limits are a tool to construct spaces with curious topological properties, from very simple spaces. in this paper, we use inverse limits and an inductive construction of the sierpinski triangle to build a continuum with very interesting topological properties, in particular, it is self-similar.

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