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math104-s21:hw7 [2021/03/05 23:52]
pzhou
math104-s21:hw7 [2022/01/11 10:57]
pzhou ↷ Page moved from math104-2021sp:hw7 to math104-s21:hw7
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 ====== HW 7 ====== ====== HW 7 ======
-This week we discussed continuity of maps, the three equivalent definitions of continuity. Then on Tuesday, after we reviewed some topologies for metric space, we showed that continuous maps sends a compact set to compact set. +On Tuesday, we discussed continuity of maps, the three equivalent definitions of continuity. Then on Thursday after we reviewed some topologies for metric space, we showed that continuous maps sends a compact set to compact set. 
  
 $\gdef\In\subset$ $\gdef\In\subset$
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 ===== Homework: ===== ===== Homework: =====
-{{ :math104:rudin_ch4.pdf |Rudin Ch 4}} p99: 1, 2, 4, 6, 7, 18+{{ math104-2021sp:rudin_ch4.pdf |Rudin Ch 4}} p99: 1, 2, 4, 6, 7, 18
 Note that for problem 18, you only need to prove that $f$ is continuous at every irrational point (since we haven't discuss what is a simple discontinuity.) Note that for problem 18, you only need to prove that $f$ is continuous at every irrational point (since we haven't discuss what is a simple discontinuity.)
  
  
math104-s21/hw7.txt · Last modified: 2022/01/11 18:31 by 24.253.46.239