Homework assignments for Math 202A Fall 18

• Homework 1. Due Fri., August 31. Homework 1 . (completions)
  
  
• Homework 2. Due Fri., September. 7. Homework 2 . (topologies)
  
  
• Homework 3. Due Fri., September 14. Homework 3 . (quotient topologies)
  
  For problem 2b of problems set 3 I had thought there could not be an isometric embedding of the flat torus (= surface of a donut) into 3-dimensional Euclidean space for Gauss curvature reasons. But one of the students in our class brought to my attention the article at this link Take a look at it. You should find it entertaining.
  
  
• Homework 4. Due Fri., September 21. Homework 4 . (product topologies)
  
  
• Homework 5. Due Fri., September 28. Homework 5 . (connected sets)
  
  
• Homework 6. Due Fri., October 5 Homework 6 . (compact sets)
  
  
• Homework 7. Due Fri., October 12. Homework 7 . (Tietze and totally bounded)
  
  
• Homework 8. Due Fri., October 19. Homework 8 . (pre-measures)
  
  
• Homework 9. Due Fri., October 26 Homework 9 . (outer measures)
  
  
• Homework 10. Due Fri., November 2. Homework 10 . (measurable functions)
  
  
• Homework 11. Due Fri., November 9. Homework 11 . (Egoroff)
  
  
• Homework 12. Due Fri., November 16. Homework 12 . (convergence in measure)
  
  
• Homework 13. Due Monday, November 26. Homework 13 . (integration)
  
  
• Homework 14. Due Friday, November 30. Homework 14 . (more integration)