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Variable Topology on Fractal Manifold

General Mathematics 2012-11-16 v2

Abstract

In this paper, we study the topology associated to the fractal manifold model. It turns out that this topology is actually a family of topologies that gives to the fractal manifold a structure of variable topological space. Additionally, we prove that using the fractal manifold as model for the universe dynamic, the universe expansion is intimately correlated to the variation of the topology.

Keywords

Cite

@article{arxiv.1101.4561,
  title  = {Variable Topology on Fractal Manifold},
  author = {Helene Porchon},
  journal= {arXiv preprint arXiv:1101.4561},
  year   = {2012}
}

Comments

14 pages, 4 figures this paper has been withdrawn, the main idea has been developped in Fractal Topology Foundations

R2 v1 2026-06-21T17:16:08.039Z