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Pre-irresolute functions in closure spaces. (English) Zbl 1438.54015
Summary: The preopen sets are used to define pre-open functions, preclosed functions, pre-continuous functions, contra-pre-continuous functions and pre-irresolute functions which are investigated. They are also used to introduce a new type of connectedness and compactness in closure spaces, called \(p\)-connectedness and \(p\)-compactness respectively.
54A05 Topological spaces and generalizations (closure spaces, etc.)
54C08 Weak and generalized continuity
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