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| | 1a | | * |
| Due 19 May 16 |
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1. Please show that the rationals are countably infinite,
i.e., count them. |
| | | | * |
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2. Complete the proof started in class of the first de Morgan law. |
| | 1b | | pp. 12-13 |
| Due 24 May 16 |
| # 1b, 3b, 4a, 7a,f, 8f, 9, 10a |
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| | 2 | | pp. 29-30 |
| Due 31 May 16 |
| # 2b, 3, 5a,c, 6, 7, 9, 10, 12 |
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| | 3 | | * |
| Due 8 June 16 | | A. Prove that the intersection
of a finite number of open set Gi is open. |
| | | | * |
| | | B. Give an example
where the countably infinite
union of closed sets is not closed. |
| | | | pp. 61-64 |
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| # 3, 5, 9, 13, 14, 15 |
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| | 4 | | p. 64 |
| Due 28 June 16 | | # 30, 32 |
| | | | pp. 90-92 |
| | | # 1b, 9a, 11, 14a |
| | | | pp. 108-109 |
| |
| # 1a, 5, 6 |
