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

TL;DR

This tutorial explores classical geometric fractals like Cantor set and Sierpinski continua from a set-theoretic perspective, providing foundational understanding for set theory and fractal geometry.

Contribution

It offers a set-theoretic presentation of classical fractals, bridging geometric intuition with formal set-theoretic concepts.

Findings

Fractals can be rigorously described using set theory.

Set-theoretic approach clarifies the structure of classical fractals.

Tutorial serves as an educational resource for set theory and fractal geometry.

Abstract

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