Use the definition of compactness from class (i.e., E is compact if every open cover of...

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Use the definition of compactness from class (i.e., E is compact if every open cover of E has a finite subcover) to show that E = (0, 1) CR is not compact. (We know this from Heine-Borel, but here the exercise is to show it starting from the definition.) Use the definition of compactness from class (i.e., E is compact if every open cover of E has a finite subcover) to show that E = (0, 1) CR is not compact. (We know this from Heine-Borel, but here the exercise is to show it starting from the definition.)

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Let E01R We will show that E is not compact Let U b... View the full answer