Publication detail

On a topologization of the Gaussian complex plane with respect to centralizers of Douady-Hubbard polynomials.

CHVALINA, J. CHVALINOVÁ, L. BAŠTINEC, J.

Original Title

On a topologization of the Gaussian complex plane with respect to centralizers of Douady-Hubbard polynomials.

English Title

On a topologization of the Gaussian complex plane with respect to centralizers of Douady-Hubbard polynomials.

Type

conference paper

Language

en

Original Abstract

There is solved a certain modified problem motivated by the Einsteins special relativity theory - it is shown that for any topology on the Gaussian plane of complex numbers monoids of all continuous closed complex functions and centralizers of Doudy-Hubbard quadratic polynomials are different. There are also constructed various extensions of the complex plane allowing the above mentioned realization.

English abstract

There is solved a certain modified problem motivated by the Einsteins special relativity theory - it is shown that for any topology on the Gaussian plane of complex numbers monoids of all continuous closed complex functions and centralizers of Doudy-Hubbard quadratic polynomials are different. There are also constructed various extensions of the complex plane allowing the above mentioned realization.

Keywords

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

RIV year

2010

Released

20.05.2010

Publisher

FEM UNOB

Location

Brno

ISBN

978-80-7231-722-6

Book

XXVIII International Colloquium on the Management of Educational Process

Pages from

1

Pages to

10

Pages count

10

BibTex


@inproceedings{BUT34904,
  author="Jan {Chvalina} and Ludmila {Chvalinová} and Jaromír {Baštinec}",
  title="On a topologization of the Gaussian complex plane with respect to centralizers of Douady-Hubbard polynomials.",
  annote="There is solved a certain modified problem motivated by the Einsteins special relativity theory - it is shown that for any topology on the Gaussian plane of complex numbers monoids of all continuous closed complex functions and centralizers of Doudy-Hubbard quadratic polynomials are different. There are also constructed various extensions of the complex plane allowing the above mentioned realization.",
  address="FEM UNOB",
  booktitle="XXVIII International Colloquium on the Management of Educational Process",
  chapter="34904",
  howpublished="online",
  institution="FEM UNOB",
  year="2010",
  month="may",
  pages="1--10",
  publisher="FEM UNOB",
  type="conference paper"
}