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...
| Hlavní autoři: | , , |
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| Médium: | info:eu-repo/semantics/article |
| Jazyk: | English |
| Vydáno: |
Bulletin of the Iranian Mathematical Society
2014
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| Témata: | |
| On-line přístup: | http://hdl.handle.net/10835/2747 |
| Shrnutí: | 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. |
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