Detail publikačního výsledku

Countable extensions of the Gaussian complex plane determineted by the simplest quadratic polynomial.

CHVALINA, J.; BAŠTINEC, J.

Original Title

Countable extensions of the Gaussian complex plane determineted by the simplest quadratic polynomial.

English Title

Countable extensions of the Gaussian complex plane determineted by the simplest quadratic polynomial.

Type

Paper in proceedings (conference paper)

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.

English 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.

Key words in English

Gaussian plane of complex numbers, continuous closed complex functions, Douady-Hubbard polynomials, topology on Gaussian plane.

Authors

CHVALINA, J.; BAŠTINEC, J.

RIV year

2012

Released

29.01.2011

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

Full text in the Digital Library

http://hdl.handle.net/

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"
}