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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](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
![SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact](https://cdn.numerade.com/ask_images/a93ccef562ef4db9a507dffa74b4fc12.jpg "SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact")
SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact
1: Dominant set example: (a) shows a compact set (dominant set), (b)... | Download Scientific Diagram
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6. use the definition of a compact set to prove that the union of two compact sets
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