遗传m空间中h紧集的性质

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-11-22 DOI:10.12697/acutm.2022.26.13

A. Al-Omari, T. Noiri

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引用次数: 0

摘要

设(X,m, H)是一个遗传的m空间。如果对于每一个覆盖U (A) × m(θ)-开集X，存在U的一个有限子集U0使得A \∪U0∈h，则X的子集A相对于X是θ- h紧致的。我们得到了这些集合的几个性质。此外，我们还定义并研究了两种“θ- h -相对于X紧”的强形式。

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Properties of theta-H-compact sets in hereditary m-spaces

Let (X,m, H) be a hereditary m-space. A subset A of X is said to be θ-H-compact relative to X if for every cover U of A by m(θ)-open sets of X, there exists a finite subset U0 of U such that A \ ∪ U0 ∈ H. We obtain several properties of these sets. Also, we define and investigate two kinds of strong forms of “θ-H-compact relative to X”.

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