Real Analysis: Metric Spaces:
More about open sets.: Open Sets in different metric spaces.

Link for playlist of Metric Spaces:
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The book followed is
Richard R Goldberg: Methods of Real Analysis
Link for Handwritten notes: (send a request mail, I will share it with you)
1. Limits in Metric Spaces.
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2. Continuous Functions on Metric Spaces.
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3. Connectedness, Completeness and Compactness. Pages 1 to 19.
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4. Connectedness, Completeness and Compactness. Pages 20 to 25.
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