COMPACTIFICATION ON ∗-TOPOLOGY

KULCHHUM KHATUN, AHMAD AL-OMARI, AND SHYAMAPADA MODAK · Poincare Journal of Analysis and Applications · 2023

In the study of compactifications, the Hausdorff space plays an important role.This paper has been shown that what is the change of compactification due to the ideal on topological spaces.To do this Hausdorff space has been redefined in terms of ideal.Compactness and homeomorphism are also significant for studying the ideal Hausdorff space.Product of ideal Hausdorff spaces is not as usual product of Hausdorff spaces and it has also been discussed in this paper.

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