# Math 5853     Topology I         Fall 2002

## Important dates and facts

 Office Hours: Mon. 2:00-3:00,     Wed. 1:30-2:30,     Thu. 1:00-2:00 Midterm I: Thursday, September 26 Midterm II: Thursday, November 14 Final Examination: Monday, December 16, 8:00am-10:00am in PHSC 116

## Messages, Assignments

Most recent is at the top!

Goto here for cool interactive Kuratowski closure-complement problem set generator.

Suggested problems.

• Page 152: 5, 7, 8, 11
• Page 157: 1, 2, 4, 9, 10, 11
• Page 171: 4, 5, 6, 7, 8
• Page 177: 1, 2, 4, 6

• Page 118: 6, 7, 8
• Page 127: 4, 5, 6, 8, 10
• Page 133: 1, 2, 3

Due Tuesday, October 8.

• Do the homework handout of Tuesday Oct 1.
• Page 92: 2, 4, 5, 9, 10.
• Pages 100-102: 5, 6, 7, 8, 13, 14, 18, 19, 21 (here's a hint).

• Section 12:
• Write out all the possible topologies for a set with 3 elements.
• Make an estimate for the number of topologies on a set of 4 elements.
• If you get tired, check out the number sequence A000798
on The On-Line Encyclopedia of Integer Sequences.
• Why is 2^2^n an upper bound for the number of topologies on a set with n elements.
• Can you improve on this bound?
• Section 13: 1 through 8.

Due Tuesday, September 17.

• Section 6: 5, 6, 7
• Section 7: 3, 4, 5, 6, 7
• Section 8: 4, 5, 6

Due Thursday, September 5.

• Section 1: 7, 8, 9
• Section 2: 2, 4, 5
• Section 3: 3, 4, 12, 13
• Section 4: Try some proofs in 1 and 2
• Section 5: 4, 5