开放覆盖的模糊星细化及模糊拓扑空间的维数

Journal of the faculty of Education Pub Date : 2023-01-21 DOI:10.60037/edu.v1i5.1204

Abdulgawad A. Q. Al-Qubati

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引用次数: 0

摘要

本文将覆盖的星精和强星精的概念推广到Chang意义上的模糊拓扑空间，证明了正规模糊拓扑空间覆盖维数的基本定理。同时，将小归纳维数函数推广到模糊拓扑空间，得到了该小归纳维数在张氏空间中的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Fuzzy Star Refinement of Open Covering and imensions of Fuzzy Topological Spaces

In this paper the concepts of star-refinement and strongly star-refinement of covering are extended to fuzzy topological space in the sense of Chang, basic theorem for covering dimension of normal fuzzy topological space is proved. Also, the small inductive dimension function is extended to fuzzy topological space, and some results for this inductive dimension in Chang’s space are obtained.

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Journal of the faculty of Education

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