Abstract

CAMARGO, JAVIER  and  ISAACS, RAFAEL. A continuum generated by the Sierpinski triangle using inverse limits. Integración - UIS [online]. 2012, vol.30, n.1, pp.1-13. ISSN 0120-419X.

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.

Keywords : Continua; inverse limit; iterated function system; Sierpinski triangle; atractor; indecomposable continuum; dyadic solenoid; selfsimilarity; fractals.

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