Linear v{C}ech closure spaces
نویسندگان
چکیده مقاله:
In this paper, we introduce the concept of linear v{C}ech closure spaces and establish the properties of open sets in linear v{C}ech closure spaces (Lv{C}CS). Here, we observe that the concept of linearity is preserved by semi-open sets, g-semi open sets, $gamma$-open sets, sgc-dense sets and compact sets in Lv{C}CS. We also discuss the concept of relative v{C}ech closure operator, meet and product linear v{C}ech closure operators. Lastly, we describe the Moore class on the Lv{C}CS and prove that it is a vector lattice with sufficient properties.
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عنوان ژورنال
دوره 07 شماره 04
صفحات 261- 268
تاریخ انتشار 2018-11-01
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