Journal
FILOMAT
Volume 34, Issue 1, Pages 153-165Publisher
UNIV NIS, FAC SCI MATH
DOI: 10.2298/FIL2001153A
Keywords
Graphs; alpha-open sets; alpha-closed sets; alpha-Kolmogorov spaces; self-similar fractals; Julia sets; nano topological graph spaces
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The aim of this paper is to introduce a topological model of fractals. Self similar fractals will be approached as inverse limit of finite one dimensional topological spaces with alpha continuous bonding functions. The second approach is to investigate topological graphs in terms nano topological spaces for Lellis Thivagar. From these approximations, the dynamics of Julia sets as a special type of self similar fractals will be studied and some physical properties of fractals through their nano topological graphs will be applied.
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