Revista Integración
ISSN 0120-419X
CAMARGO, JAVIER ISAACS, RAFAEL. A continuum generated by the Sierpinski triangle using inverse limits. []. , 30, 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.
: Continua; inverse limit; iterated function system; Sierpinski triangle; atractor; indecomposable continuum; dyadic solenoid; selfsimilarity; fractals.