Some results in generalized Serstnev spaces
We show that D-compactness in generalized Serstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic generalized Serstnev is not D-compact in general. Finally, in the finite dimensional generalized Serstnev spaces a subset is D-compact if, a...
| Autores principales: | , , |
|---|---|
| Formato: | info:eu-repo/semantics/article |
| Lenguaje: | English |
| Publicado: |
Bulletin of the Iranian Mathematical Society
2014
|
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/10835/2747 |
| Sumario: | We show that D-compactness in generalized Serstnev spaces implies D-boundedness and as in the classical case, a D-bounded and closed subset of a characteristic generalized Serstnev is not D-compact in general. Finally, in the finite dimensional generalized Serstnev spaces a subset is D-compact if, and only if it is D-bounded and closed. |
|---|