Fractal squares with finitely many connected components <sup>*</sup>

نویسندگان

چکیده

In this paper, we present an effective method to characterize completely when a disconnected fractal square has only finitely many connected components. Our is establish some graph structures on squares reveal the evolution of connectedness during their geometric iterated construction. We also prove that every contains either or uncountably A few examples, including construction with exactly $m\geqslant 2$ components, are added in addition.

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ژورنال

عنوان ژورنال: Nonlinearity

سال: 2021

ISSN: ['0951-7715', '1361-6544']

DOI: https://doi.org/10.1088/1361-6544/abd611