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Generalized I-Proximity Spaces |
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PP: 173-178 |
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Author(s) |
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A. Kandil,
O. A. Tantawy,
S. A. El-Sheikh,
A. Zakaria,
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Abstract |
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| An ideal on a set X is a nonempty collection of subsets of X with heredity property which is also closed finite unions. The
purpose of this paper is to construct a new approach of generalized proximity based on the ideal notion. For I = {f }, we have the
generalized proximity structure [15] and for the other types of I, we have many types of generalized proximity structures. In addition, if
(X,t ) is an IR2−topological space, then t ∗ is a compatible with an I-Pervin proximity relation on P(X). It is also shown that if (X,t )
is a ∗−normal space and (X,t ∗) is a Ro−space, then t ∗ is a compatible with an I-Lodato proximity relation on P(X). |
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