Quantitative continuous Δ-spaces

Feng Fan

doi:10.2989/16073606.2026.2631159

2026-02-01

PRE

DOI：10.2989/16073606.2026.2631159

原文链接

摘要

En 中文

偏度量空间是通常度量空间的一种推广，其中自距离不必为零；它们在非豪斯多夫拓扑的研究中起着重要作用。本文中，对于所谓的Delta空间（通常是非豪斯多夫的），我们引入了Delta基和代数性的概念，并给出了后者概念的若干刻画。此外，我们证明每个ω-连续的Delta空间是可偏度量的。

Keyword:

Partially metrizable

Delta-basis

continuous Delta-space

algebraic Delta-space

期刊

Quaestiones Mathematicae

IF:

0.8

论文数:

被引数:

机构

hunan university

学者数:

4.5W

论文数: 3.3W

被引数: 70

Changsha University of Science & Technology

学者数:

1.4K

论文数: 468

被引数: 0

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