General Position Theorem and Its Applications

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Abstract

We introduce some general and special formulations of general position theorem for parametrized families of fractals and explain the techniques of its application to prove the existence of self-similar sets with prescribed special properties.

Original languageEnglish
Title of host publicationTopological Dynamics and Topological Data Analysis, IWCTA 2018
EditorsRobert L. Devaney, Kit C. Chan, P. B. Vinod Kumar
PublisherSpringer, Cham
Pages165-176
Number of pages12
ISBN (Print)9789811601736
DOIs
Publication statusPublished - 2021
Event1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018 - Kochi, India
Duration: 9 Dec 201811 Dec 2018

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume350
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018
CountryIndia
CityKochi
Period09.12.201811.12.2018

Keywords

  • Attractor
  • Generalized polygonal system
  • Postcritically finite set
  • Self-similar dendrite

OECD FOS+WOS

  • 1.01 MATHEMATICS

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