Math 470 - Topology


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

Current Assignment:

Homework Assignments will now be announced in class.


Important dates:

Midterm 1: Wednesday, Oct 1
Fall Break: Friday, Oct 24.
Midterm 2: the week of Nov 3
Thanksgiving Break: Nov 27-28
Last Day of Classes: Dec 12
Final Exam: Thursday, Dec.18, 2008, from 2-5 pm


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:

Reading Assignment: Friday, Sept 5 pages 1--5.
Reading Assignment: Monday, Sept 8 pages 9--11.

Assignment 1: Due Wed, Sept 10. Do Homework Problem 1.1.4.

Assignment 2: Due Wed, Sept 17. Do Homework Problems 1.1.9, 1.1.18, 1.1.28 (see errata), 3-point topologies

Assignment 3: Due Wed, Sept 24. Do Homework Problems Hausdorff problem, 3-point topologies problem, and problems from Section 1.2 (except 1.2.5) and 1.3.6, 1.3.10.

Reading Assignment: pages 20--26 & 28--31.


Reading Assignment: pages 36--54.

Assignment 4: Due Wed, Oct 1. Do Homework Problems 1.3.27, 1.3.28, 1.3.34(a and c only), 2.2.2, 2.2.6, 2.2.7, 2.3.3.

Assignment 5: Due Wed, Oct 1. Do Homework Problems 2.3.9, 2.3.10(write a one paragraph summary of your findings regarding strategy for playing tic-tac-toe on the torus) 2.3.13, 2.3.18(write a one paragraph summary of your findings regarding strategy for playing tic-tac-toe on the Klein bottle) 2.3.19, 2.3.23
See the page http://www.geometrygames.org/SoS/ to download the torus and Klein bottle tic-tac-toe games.
Klien bottles for sale.
Video of the Klein bottle.

Assignment 6: Due Wed, Oct 15. Do Homework Problems 2.4.3, 2.5.3, 2.6.4, 2.6.6, prove T connected sum P is homeomorphic to 3P, 2.7.4

Assignment 7: Due Wed, Oct 22. Do Homework Problems TBA