mat327 summer 2024 notes

• Week 5
• Week 6
• Week 7
• Week 8
• Week 10
• Week 11

changelog

• Week 5: changed max to sup in section 3.1, second equation (thanks ben chang for spotting the mistake)
• Week 5: fixed missing product sign in cor 3.8 (credit: ben chang again)
• Week 6: fixed some places where we had $A$ instead of $A_\sim$. (credit: ben chang as usual)
• Week 8: changed typo in proof of theorem 3.8 (wrong font) credit: yulong
• Week 8: removed unnecessary check for nonempty intersection in proof of lemma 3.9. credit: yulong
• Week 8: removed incorrect remark that the power set of the naturals is an ultra filter. credit: yulong and ben
• All weeks: added list of theorems and definitions to the start of the notes