Fractal Topology Foundations
General Mathematics
2021-07-13 v1
Abstract
In this paper, we introduce the foundation of a fractal topological space constructed via a family of nested topological spaces endowed with subspace topologies, where the number of topological spaces involved in this family is related to the appearance of new structures on it. The greater the number of topological spaces we use, the stronger the subspace topologies we obtain. The fractal manifold model is brought up as an illustration of space that is locally homeomorphic to the fractal topological space.
Cite
@article{arxiv.1201.6223,
title = {Fractal Topology Foundations},
author = {Helene Porchon},
journal= {arXiv preprint arXiv:1201.6223},
year = {2021}
}
Comments
20 pages