Semicascades with bitopological space spaces formed by solution spaces of second-order linear homogeneous differential equations.
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Proceedings |
| Conference | Seventh Conference on Mathematics and Physics ont Technical Universities. Proceedings of Contributions |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Topological space; bitopological space; continuous closed mapping; semicascade; solution space of a linear homogeneous differential equation of the second order |
| Description | Using the realization theorem concerning realization of centralizers of set transformations by monoids of strongly isotone selfmaps of quasi-ordered sets (motivated by natural homomorphisms or p-homomorphisms of Kripke semantics) we solve certain modifications of the classical realization problem formulated by C. Ewerett, J. von Neumann, E. Teller and S. M. Ulam in the year 1948. In particular, in the contribution there are constructed semicascades with topological and bitopological phase spaces possessing endomorphism monoids realizable by continuous closed selfmaps of disconnected or connected topological spaces and also by special transformations of bitopological spaces satisfying certain bitopological separation axioms. |