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Real Analysis:Bounded Sets and Totally Bounded Sets. Lect. # 15.#realanalysis #metricspace
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Real Analysis: Metric Spaces:
Bounded sets and Totally Bounded Sets:
Definition and examples. Relationship between Bounded Sets and Totally Bounded Sets.
Link for playlist of Metric Spaces:
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.
2. Continuous Functions on Metric Spaces.
3. Connectedness, Completeness and Compactness. Pages 1 to 19.
4. Connectedness, Completeness and Compactness. Pages 20 to 25.
Bounded sets and Totally Bounded Sets:
Definition and examples. Relationship between Bounded Sets and Totally Bounded Sets.
Link for playlist of Metric Spaces:
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.
2. Continuous Functions on Metric Spaces.
3. Connectedness, Completeness and Compactness. Pages 1 to 19.
4. Connectedness, Completeness and Compactness. Pages 20 to 25.
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