DEFINITION 2.3 (11). Let E be a topological space. A subset D of E is said to be compactly open (respectively, compactly closed) in E if for any nonempty compact subset L of E,D∩L is open (respectively, closed) in L.REMARK 2.1. (a) It is clear from the above definition that every open (respectively, closed) set is compactly open (respectively, compactly closed).
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