Countable actions of hyperstructures and pseudo-metrizable uniform spaces.
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Proceedings |
| Conference | 10-th International Conference APLIMAT |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | General hyperoperation; countable sequence of tolerances; general hyperstructure; ordered set; pseudo-metrizable uniform space |
| Description | There is generalized concept of a general hyperstructure (A. D. Nezhad, R. S. Hashemi) onto the case of countable many basic sets (spaces) called general hyperstructures. This construction is then applied to pseudo-metrizable uniform spaces; in particular there is proved that isomorphism of certain general hyper-structures of tolerance spaces with the same carrier set implies uniform equivalence of pseudo-uniform spaces induced by countable families of tolerances forming bases of uniformities. |