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6. Let f: R? → R? be a continuous function. Prove that f ([0,1] × [0,1]) is compact.

6. Let f: R? → R? be a continuous function. Prove that f ([0,1] × [0,1]) is compact.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can you please explain help me with attached topology dealing with compactness

 

6. Let f: R? → R? be a continuous function. Prove that f([0,1] × [0,1]) is compact.
Transcribed Image Text:6. Let f: R? → R? be a continuous function. Prove that f([0,1] × [0,1]) is compact.
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