Characterization of the n-dimensional Sierpiński carpet as an inverse limit of closed balls

2022/03/21 by de Souza, Lucas H. R.
#54E45 #54F15 #FOS: Mathematics #General Topology (math.GN) #Primary: 54F65 #Secondary: 54F17

paper · doi:10.48550/arxiv.2203.11282

Abstract

In this paper we generalize, for any dimension, a theorem of Tshishiku and Walsh that characterizes the Sierpiński carpet as a limit set of maps from the disc to the sphere.

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