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Quantitative continuous Δ-spaces

delete2026-02-01
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PRE
AI
冯帆 (Feng Fan)
Z
Zhenhua Jia *
Q
Qingguo Li
DOI:10.2989/16073606.2026.2631159delete
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Abstract

Abstract

En 中文
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

Journal

Q
Quaestiones Mathematicae
IF:
0.8
Papers:
64
Citations:
0

Organization

H
hunan university
Scholars:
4.4W
Papers: 3.3W
Citations: 70
C
Changsha University of Science & Technology
Scholars:
1.1K
Papers: 383
Citations: 0