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Hello, I am learning some analysis on my own and what is the motivation to consider compactness? eg. I do not understand why having the property of reducing a cover to a finite cover is important. I'm sure there is a good answer to this and I'm interested to hear your replies! --Alex |
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Post Closed as "exact duplicate" by Robin Chapman, Harry Gindi, Wadim Zudilin, Greg Stevenson, Pete L. Clark
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