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Fractals. Compact Set Compact space X E N A collection {U ; U E N } of open sets, X U .A collection {U ; U E N } of open sets, X. - ppt download
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SOLVED: a) Let f:X,dâ†'X,d be a continuous function and let K ⊆ X be a compact set. Prove that f(K) is compact. [4 marks] b) Give an example of a function f:X,dâ†'X2,d
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Topology: Sequentially Compact Spaces and Compact Spaces | Mathematics and Such
6. use the definition of a compact set to prove that the union of two compact sets
6. use the definition of a compact set to prove that the union of two compact sets