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...
| Päätekijät: | , , |
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| Aineistotyyppi: | info:eu-repo/semantics/article |
| Kieli: | English |
| Julkaistu: |
Bulletin of the Iranian Mathematical Society
2014
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| Aiheet: | |
| Linkit: | http://hdl.handle.net/10835/2747 |
| Yhteenveto: | 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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