Abstract
The purpose of this article is to study some covering properties in neutrosophic topological spaces via neutrosophic pre-open sets. We define neutrosophic pre-open cover, neutrosophic pre-compactness, neutrosophic countably pre-compactness and neutrosophic pre-Lindel¨ofness and study various properties connecting them. We study some properties involving neutrosophic continuous and neutrosophic pre-continuous functions. We also define neutrosophic pre-base, neutrosophic pre-subbase, neutrosophic pre∗-open function, neutrosophic pre-irresolute function and study some properties. In addition to that, we define and study neutrosophic local pre-compactness.
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