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1. The Space of Continuous Functions
![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](https://cdn.numerade.com/ask_images/a47561e69fe7427dadeb8ed42a6e37f4.jpg "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")
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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Compact Space: General topology, Metric space, Topological space, Closed set, Bounded set, Euclidean space, Bolzano?Weierstrass theorem, Function space, Maurice René Fréchet, Mathematical analysis : Miller, Frederic P., Vandome, Agnes F., McBrewster, John:
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