On preservation of normality
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Hdeib, H. Z.
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1981
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The theory of normal spaces is treated in this paper. In section 1 we define a new type of mappings called paranormal, and we prove that a continuous mapping onto a normal space is paranormal if and only if its domain is normal. The section ends with the study of relativized notions of normality and paracompactness. In section 2 we study the normalitv of the products. Finally, section 3 contains the discussion of counterexamples relevant to the definition and theorems in the previous sections.