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On I-Proximity Spaces |
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PP: 79-84 |
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doi:10.18576/amisl/040205
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Author(s) |
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A. Kandil,
O. A. El-Tantawy,
S. A. El-Sheikh,
Amr Zakaria,
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Abstract |
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| An ideal $I$ on a nonempty set $X$ is a subfamily of $P(X)$ which is closed under finite unions and subsets. The purpose of this paper is to introduce $\delta_{I}-$neighborhood in an $I-$proximity space and provides an alternative description to the study of $I-$proximity spaces. Moreover, a new topology $\tau^{*}_{\mathfrak{U}}$ via ideal and uniform space $(X, \mathfrak{U})$ is introduced. On comparing with an old topology, it is found that
the present one is finer. |
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