640:441

INTRODUCTORY TOPOLOGY

FALL 2008

Assignments

Note: In some problems you are asked to determine whether or not something is true; you are expected to justify your answer. An affirmative answer requires a proof; a negative answer is usually best supported by a counterexample. Similarly, if you are asked to describe something, or any similar question, the answer must be justified.

• Assignment 1: Turn in starred problems Wednesday, September 10.
  • Munkres, Section 1: 2 *(h), (m), (n)
  • Munkres, Section 2: 1, 2, 4, 5
  • Munkres, Section 3: 3, *5, 6, 9, *13, *15
• Assignment 2: Turn in starred problems Wednesday, September 17.
  • Munkres, Section 4: 5 (a), (c), (d), *9
  Of course, in the problems from Section 4 you are proving things that you know well. Here you are expected to prove them from the definition of the integers, and results about integers, given in our text or in class.
  • Munkres, Section 5: 3 (c), (d), 4 (c), *(e), 5
  • Munkres, Section 6: *4, 5, 6
  • Munkres, Section 7: 1, *4

From now on I will post assignments as pdf files that you can print out; I hope that this will be more convenient.

• Assignment 3: This assignment is due Wednesday, September 24. Here is the pdf file with Assignment 3.
• Assignment 4: This assignment is due Wednesday, October 1. Here is the pdf file with Assignment 4.
• Assignment 5: No problems from this assignment must be turned in, but one if them is an extra credit problem which you may turn in if you like (by Wednesday 10/15). Here is the corrected pdf file with Assignment 5.
• Assignment 6: This assignment is due Wednesday, October 15. Here is the pdf file with Assignment 6.
• Assignment 7: This assignment is due Wednesday, October 22. Here is the pdf file with Assignment 7.
• Assignment 8: This assignment is due Wednesday, October 29. Here is the corrected pdf file with Assignment 8.
• Assignment 9: This assignment is due Wednesday, November 5. Here is the pdf file with Assignment 9.
• Assignment 10: This assignment is for study only, and no problems from it will be collected. Here is the pdf file with Assignment 10.
• Assignment 11: Due date for this assignment has been extended to Monday, December 1, although if you prefer you can turn it in Monday, November 24. Note also a correction to the assignment as originally posted: problems assigned from Section 31 should have been assigned from Section 30. Here is the corrected pdf file with Assignment 11.
• Assignment 12: This assignment is due Monday, December 8. Here is the pdf file with Assignment 12.
• Assignment 13: This assignment is for study only, and no problems from it will be collected. Here is the pdf file with Assignment 13.