On fractal squares possessing finite intersection property

Authors

Dmitriy Drozdov, Sobolev Institute of Mathematics, Novosibirsk, Russian Federation; Novosibirsk State Technical University, Novosibirsk, Russian FederationFollow
Andrei Tetenov, Sobolev Institute of Mathematics, Novosibirsk, Russian FederationFollow

Abstract

We consider fractal squares and obtain the conditions under which they possess finite intersection property. If the fractal square is a dendrite we find the exact estimates for the intersection number for pairs of their pieces and the orders of their points.

First Page

164

Last Page

181

References

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Recommended Citation

Drozdov, Dmitriy and Tetenov, Andrei (2022) "On fractal squares possessing finite intersection property," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 5: Iss. 3, Article 4.
DOI: https://doi.org/10.56017/2181-1318.1229