Abstract Fractals
Metric Geometry
2019-08-13 v1
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.
Keywords
Cite
@article{arxiv.1908.04273,
title = {Abstract Fractals},
author = {Marat Akhmet and Ejaily Milad Alejaily},
journal= {arXiv preprint arXiv:1908.04273},
year = {2019}
}