On π-closed sets and π-normal property in topological spaces

Saad Thabit, Sadeq Ali; Kamarulhaili, Hailiza
September 2013
AIP Conference Proceedings;Sep2013, Vol. 1557 Issue 1, p370
Conference Proceeding
In this paper, we present some results on π-normal and nearly paracompact spaces. Some relationships between π-normality and near paracompactness are given. We give some conditions on two spaces X and Y so that the product space X × Y will be π-normal. We show that if the product space X × I is π-normal, then the subspace X × {0} is also π-normal. We also look into π-closed and π-open sets in subspaces as well as in finite product spaces. Some various properties of π-closed and π-open sets are proved and some examples/counterexamples are given.


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