1. Some set theory

Notes

• Complete lecture notes
• Blank lecture notes

Videos

Part 1 (pages 3-8)

Part 2 (pages 9-13)

Part 3 (pages 14-15)

Page links

• Page 3: Sets.
• Page 4: Subsets.
• Page 5: Union and intersection.
• Page 6: Infinite unions and intersections, difference of sets.
• Page 7: Properties of set algebra, Cartesian products.
• Page 8: Infinite products.
• Page 9: Functions: 1-1, onto, bijection.
• Page 10: Cardinality, countable sets.
• Page 11: Countable sets examples: natural numbers, integers.
• Page 12: Countable sets examples: rational numbers.
• Page 13: Uncountable sets: interval, real numbers.
• Page 14: Bounded subsets of real numbers. Infimum.
• Page 15: Supremum.

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