General Position Theorem and Its Applications

Standard

General Position Theorem and Its Applications. / Aseev, Vladislav; Kamalutdinov, Kirill ; Tetenov, Andrei.

Topological Dynamics and Topological Data Analysis, IWCTA 2018. ed. / Robert L. Devaney; Kit C. Chan; P. B. Vinod Kumar. Springer, Cham, 2021. p. 165-176 (Springer Proceedings in Mathematics and Statistics; Vol. 350).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Aseev, V, Kamalutdinov, K & Tetenov, A 2021, General Position Theorem and Its Applications. in RL Devaney, KC Chan & PB Vinod Kumar (eds), Topological Dynamics and Topological Data Analysis, IWCTA 2018. Springer Proceedings in Mathematics and Statistics, vol. 350, Springer, Cham, pp. 165-176, 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018, Kochi, India, 09.12.2018. https://doi.org/10.1007/978-981-16-0174-3_12

APA

Aseev, V., Kamalutdinov, K., & Tetenov, A. (2021). General Position Theorem and Its Applications. In R. L. Devaney, K. C. Chan, & P. B. Vinod Kumar (Eds.), Topological Dynamics and Topological Data Analysis, IWCTA 2018 (pp. 165-176). (Springer Proceedings in Mathematics and Statistics; Vol. 350). Springer, Cham. https://doi.org/10.1007/978-981-16-0174-3_12

Vancouver

Aseev V, Kamalutdinov K , Tetenov A. General Position Theorem and Its Applications. In Devaney RL, Chan KC, Vinod Kumar PB, editors, Topological Dynamics and Topological Data Analysis, IWCTA 2018. Springer, Cham. 2021. p. 165-176. (Springer Proceedings in Mathematics and Statistics). doi: 10.1007/978-981-16-0174-3_12

Author

Aseev, Vladislav ; Kamalutdinov, Kirill ; Tetenov, Andrei. / General Position Theorem and Its Applications. Topological Dynamics and Topological Data Analysis, IWCTA 2018. editor / Robert L. Devaney ; Kit C. Chan ; P. B. Vinod Kumar. Springer, Cham, 2021. pp. 165-176 (Springer Proceedings in Mathematics and Statistics).

BibTeX

@inproceedings{583c4ae797264531ba1739c97ffc57d8,

title = "General Position Theorem and Its Applications",

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.",

keywords = "Attractor, Generalized polygonal system, Postcritically finite set, Self-similar dendrite",

author = "Vladislav Aseev and Kirill Kamalutdinov and Andrei Tetenov",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Singapore Pte Ltd.; 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018 ; Conference date: 09-12-2018 Through 11-12-2018",

year = "2021",

doi = "10.1007/978-981-16-0174-3_12",

language = "English",

isbn = "9789811601736",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer, Cham",

pages = "165--176",

editor = "Devaney, {Robert L.} and Chan, {Kit C.} and {Vinod Kumar}, {P. B.}",

booktitle = "Topological Dynamics and Topological Data Analysis, IWCTA 2018",

}

RIS

TY - GEN

T1 - General Position Theorem and Its Applications

AU - Aseev, Vladislav

AU - Kamalutdinov, Kirill

AU - Tetenov, Andrei

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Attractor

KW - Generalized polygonal system

KW - Postcritically finite set

KW - Self-similar dendrite

UR - http://www.scopus.com/inward/record.url?scp=85116374052&partnerID=8YFLogxK

U2 - 10.1007/978-981-16-0174-3_12

DO - 10.1007/978-981-16-0174-3_12

M3 - Conference contribution

AN - SCOPUS:85116374052

SN - 9789811601736

T3 - Springer Proceedings in Mathematics and Statistics

SP - 165

EP - 176

BT - Topological Dynamics and Topological Data Analysis, IWCTA 2018

A2 - Devaney, Robert L.

A2 - Chan, Kit C.

A2 - Vinod Kumar, P. B.

PB - Springer, Cham

T2 - 1st International Workshop and Conference on Topological Dynamics and Topological Data Analysis, IWCTA 2018

Y2 - 9 December 2018 through 11 December 2018

ER -

ID: 34375358