Přístupnostní navigace
E-application
Search Search Close
Publication detail
CHVALINA, J. BAŠTINEC, J.
Original Title
Countable extensions of the Gaussian complex plane determineted by the simplest quadratic polynomial.
Type
conference paper
Language
English
Original Abstract
There is solved a certain modified problem motivated by the Einsteins special relativity theory - usually called the problem of a realization of structures. In particular it is show that for any topology on the Gaussian plane of all complex numbers monoids of all continuous closed complex functions and centralizers of Douady-Hubbard quadratic polynomials are different. There are also constructed various extensions of the complex plane allowing the above mentioned realization for centralizers of extended simple quadratic function in the complex domain.
Keywords
Gaussian plane of complex numbers, continuous closed complex functions, Douady-Hubbard polynomials, topology on Gaussian plane.
Authors
CHVALINA, J.; BAŠTINEC, J.
RIV year
2011
Released
29. 1. 2011
Publisher
EPI Kunovice
Location
Kunovice
ISBN
978-80-7314-221-6
Book
Proc. Ninth Inernat. Conference on Soft Computing Applied in Computer and Economic Enviroments (ISIC 2011)
Pages from
103
Pages to
113
Pages count
11
BibTex
@inproceedings{BUT75882, author="Jan {Chvalina} and Jaromír {Baštinec}", title="Countable extensions of the Gaussian complex plane determineted by the simplest quadratic polynomial.", booktitle="Proc. Ninth Inernat. Conference on Soft Computing Applied in Computer and Economic Enviroments (ISIC 2011)", year="2011", pages="103--113", publisher="EPI Kunovice", address="Kunovice", isbn="978-80-7314-221-6" }