Countable extensions of the Gaussian complex plane determineted by the simplest quadratic polynomial
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Proceedings |
| Conference | Proc. Ninth Internat. Conference on Soft Computing Applied in Computer and Economic Enviroments (ISIC 2011) |
| MU Faculty or unit | |
| Citation | |
| Keywords | Gaussian plane of complex numbers, continuous closed complex functions, Douady-Hubbard polynomials, topology on Gaussian plane. |
| Description | There is solved a certain modified problem motivated by the Einstein’s 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. |