Prove proposition 2.3. Let f: X Y be continuous. f (X) is compact if X

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Prove proposition 2.3.
Let f: X → Y be continuous.
• f (X) is compact if X is compact
• f (X) is connected if X is connected

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:39 AM

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Prove proposition 2.3. Let f: X Y be continuous. f (X) is compact if X

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Assume is compact Let be a sequence in There exists a sequence in with Since is compact it ...View the full answer

Foundations of Mathematical Economics

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