Constructive fractals in set theory. Tutorial. (In Russian)

2017/08/07 by Alexander Herega, Herega, Alexander
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Dynamics and Fractals #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1709.00306

openalex publication_date 2017/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Classical geometric fractals - Cantor set and Sierpinski continua - are presented in the manual as set-theoretic objects.

Citations

• On Information and Sufficiency
• The Fractal Geometry of Nature

Related

• Quasi-fractal sets in space
• A geometric construction for fractal sets and related linear operators
• Fractal Geometry: Mathematical Foundations and Applications.
• Calculus, fractals, and analysis on metric spaces
• On one class of fractal sets