| Pre-Lindelöf quasi-pseudo-metric and quasi-uniform spaces |
| H.-P. A. Künzi, M. Mršević, I. L. Reilly, M. K. Vamanamurthy |
Abstract When the finiteness condition in the definition of precompactness is replaced by countability, a new notion in the class of quasi-uniform spaces is introduced, and we call it {\it pre-Lindelöfness}. Some properties of pre-Lindelöf spaces, in particular in the subclass of quasi-pseudo-metric spaces, are investigated.
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Keywords: Quasi-pseudo-metric, quasi-uniform, (hereditarily) Lindelöf, (hereditarily) precompact, (hereditarily) pre-Lindelöf, separable. |
MSC: 54E15, 54E99, 54D20 |
Pages: 81--87 |
Volume 46 , Issue 3$-$4 , 1994 |
