Math 486 - Topology


All numbered exercises are from Beginning Topology, by Sue Goodman.

Current Assignment:

Assignment 12: 6.3.8, 6.3.10, 6.4.2, 6.5.1, 6.5.6, 6.6.6, 6.6.10     DUE: Friday Dec, 7.


Homework Problems:

Here is a link to the errata for Sue Goodman's Beginning Topology.

Section 1.1 problems: 1.1.4, 1.1.9, 1.1.18, 1.1.28, Hausdorff problem, 3-point topologies    

Section 1.2 problems 1.2.1, 1.2.3, 1.2.5, 1.2.21, 1.2.22    

Section 1.3 problems 1.3.6, 1.3.10, 1.3.27, 1.3.28, 1.3.34 Projects: 1.3.36    

Section 2.1 problems Project: 2.1.4    

Section 2.2 problems 2.2.2, 2.2.6, 2.2.7    

Section 2.3 problems 2.3.3, 2.3.9, 2.3.13, 2.3.14, 2.3.23 Projects: 2.3.4, 2.3.10, 2.3.18    

Section 2.4 problems 2.4.3, Projects: 2.4.4    

Section 2.5 problems 2.5.3, 2.5.4    

Section 2.6 problems 2.6.4, 2.6.6    

Section 2.7 problems 2.7.3, 2.7.4    

Section 3.1 problems 3.1.6, 3.1.12, 3.1.16, 3.1.17    

Section 3.2 problems 3.2.3, 3.2.4    

Section 3.3 problems 3.3.2, 3.3.4, 3.3.8    

Section 3.4 problems 3.4.4, 3.4.8, 3.4.9, 3.4.11   

Section 3.5 problems 3.5.2, 3.5.5, 3.5.9, 3.5.10    

Section 4.1 problems 4.1.9, 4.1.12    

Section 4.2 problems 4.2.4    

Section 4.3 problems 4.3.7, 4.3.9    

Section 4.4 problems 4.4.3, 4.4.4, 4.4.12, 4.4.16    

Section 4.5 problems 4.5.5, 4.5.6, 4.5.9    

Section 6.1 problems 6.1.1, 6.1.3, 6.1.6, 6.1.10    

Section 6.2 problems 6.2.1, 6.2.2, 6.2.8    

Section 6.3 problems 6.3.2, 6.3.3, 6.3.5, 6.3.7, 6.3.8, 6.3.10  

Section 6.4 problems 6.4.2, 6.4.3  

Section 6.5 problems 6.5.1, 6.5.6, 6.6.6, 6.6.10  


Previous Assignments:

Assignment 1: Due Wed, Sept 5. Do Homework Problems listed below from Section 1.1 except 1.1.28 and Hausdorff problem.

Reading Assignment: Friday, August 31 pages 1--5.
Reading Assignment: Wednesday, Sept 5 pages 9--11.
Reading Assignment: Friday, Sept 7 pages 12--19.
Reading Assignment: Monday, Sept 10 pages 20--26.

Assignment 2: Due Wed, Sept 12. Do Homework Problems 1.1.28, Hausdorff problem, 3-point topologies problem, and problems from Section 1.2.

Reading Assignment: Friday, Sept 14 pages 20--26 & 28--31.

Assignment 3: Due Wed, Sept 19. Do Homework Problems 1.3.6, 1.3.10, 1.3.27, 1.3.28, 1.3.34.
Bonus problem: 1.3.36

Reading Assignment: Friday, Sept 21 pages 36--46.

Assignment 4: Due Wed, Sept 26. Do Homework Problems 2.2.2, 2.2.6, 2.2.7, 2.3.3, 2.3.9, Project 2.3.10, problem 2.3.13.

Reading Assignment: Monday, Sept 24 pages 46--55.
Reading Assignment: Wednesday, Sept 26 pages 55--65.

Assignment 5: Due Wed, Oct 3. Do Homework Problems 2.3.18, 2.3.19, 2.3.23, 2.4.3, 2.6.4, 2.6.6, 2.7.3, 2.7.4.

Reading Assignment: Friday, Sept 28 pages 65 -- 70.
Reading Assignment: Monday, Oct 1 pages 70 -- 77.

Assignment 6: Due Wed, Oct 10. Do Homework Problems 2.7.4, 3.1.6, 3.1.12, 3.1.16, 3.2.4, 3.3.2 (read the section on genus first), finish the worksheet from class, 3.4.4 (in this problem you prove there are only 5 Platonic solids!!! so cool!!).

Reading Assignment: Monday, Oct 8 pages 77 -- 86.

Reading Assignment: Wednesday, Oct 10 pages 86 -- 94.

Assignment 7: Due Wed, Oct 17. 3.4.8, 3.4.9, 3.5.2, 3.5.5, 4.1.9, 4.1.12.

Reading Assignment: Monday, Oct 15 pages 94 -- 101.

Reading Assignment: Wednesday, Oct 17 pages 101 -- 107.

Fall break: Friday, Oct 19.
Midterm Exam due Monday, Oct 22. Guidelines for midterm exam.

Assignment 8: Due Wed, Oct 30. 4.2.4, 4.3.7, 4.3.9, 4.4.3, 4.4.4, 4.4.12, 4.4.16.

Reading Assignment: Wednesday, Oct 24 pages 107 -- 111.

Reading Assignment: Friday, Oct 26 pages 111 -- 117.

Assignment 9: Due Wed, Nov 7. 4.5.5, 4.5.6, 4.5.9, 6.1.1, 6.1.3, 6.1.6(symmetric only, we did reflexive in class), 6.1.10

Reading Assignment: Monday, Nov 5 pages 152 -- 160.

Reading Assignment: Wednesday, Nov 7 pages 160 -- 164.

Reading Assignment: Friday, Nov 9 pages 164 -- 167.

Assignment 10: READ YOUR READING ASSIGNMENTS. Short quiz over reading assignments on Wednesday, Nov 14.

Reading Assignment: Monday, Nov 12 pages 160 -- 167.

Reading Assignment: Wednesday, Nov 14 pages 167 -- 171.

Reading Assignment: Friday, Nov 16 pages 171 -- 179.

Assignment 11: 6.1.18, 6.1.19, 6.2.1, 6.2.2, 6.2.8, 6.3.2, 6.3.3, 6.3.5 (Note typo: the annulus is given by the set of all points (x, y) such that 1\leq x^2+y^2 \leq 4. The squares are missing in the statement of the problem.)

Reading Assignment: Monday, Nov 19 pages 171 -- 179.