Characterization of the $n$-dimensional Sierpi\'nski carpet as an inverse limit of closed balls

Lucas H. R. de Souza

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arXiv · 2203.11282

Characterization of the $n$-dimensional Sierpi\'nski carpet as an inverse limit of closed balls

Lucas H. R. de Souza

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Abstract

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

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BibTeX RIS

Lucas H. R. de Souza. 2022-03-21. Characterization of the $n$-dimensional Sierpi\'nski carpet as an inverse limit of closed balls. https://arxiv.org/abs/2203.11282

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