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arXiv · 1908.04273

Abstract Fractals

Marat Akhmet·Ejaily Milad Alejaily
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Abstract

We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated through imposing conditions which are governed the relation between the subsets of a metric space to build a porous self-similar structure. Examples are provided to confirm that the definition is satisfied by large class of self-similar fractals. The new concepts create new frontiers for fractals and chaos investigations.

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Marat Akhmet, Ejaily Milad Alejaily. 2019-08-09. Abstract Fractals. https://arxiv.org/abs/1908.04273

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