• Announcements: Hello! Please remember that homework set HW4 is due tonight! Solutions will be posted shortly, as well as the next homework set HW5.

• Video 1: Continuous image of compact set is compact
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• Video 2: Continuous real-valued functions on compact sets assume min and max
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• Video 3: Inverse function of injective continuous map with compact domain is continuous
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• Video 4: Uniform continuity
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• Video 5: Continuous map on compact set is uniformly continuous
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• Video 6: Compactness is necessary in above results
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• Video 7: Continuity and connectedness
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• Lecture Notes (static file from above videos): PDF file