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Quantitative continuous Δ-spaces
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DOI：10.2989/16073606.2026.2631159.png)
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Abstract
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Partial metric spaces are a generalization of the usual metric spaces in which self-distance need not be zero; they play an important role in the study of non-Hausdorff topologies. In this paper, for so-called Delta-spaces (which are typically non-Hausdorff ), we introduce the notions of Delta-basis and algebraicity, and we give several characterizations of the latter notion. Furthermore, we prove that every omega-continuous Delta-space is partially metrizable.
Keywords:
Partially metrizable
Delta-basis
continuous Delta-space
algebraic Delta-space
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0.8
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