Introduction to Topology
Homework 3 due September 30th
Summary for subspace, quotient and product topologies as we discussed Week 2 and 3.
Summary for "cut-and-paste arguments" is included as well.
formal treatment of
"pasting" ("gluing", "identifying")
and cut and paste arguments from Munkres
in case of pairwise identification of edges of polygons
Homework 2 due September 23rd
practice problems (no need to hand them in)
Here are summaries for the quotient topologies:
- from Munkres, discussing the torus case in detail
- from Messer and Straffin, discussing the Mobius case in detail
- Stereographic projection - animation
- Stereographic projection from a
a complex analysis textbook (since they place the unit
sphere differently in the coordinate system as we did in class, the formulae
are different a bit)
The Klein Bottle (and Mobius strip) (animation)
- If you go to Prague, check out this
a Mobius mural
- M.C. Escher's famous Mobius strip
Homework 1 due Friday, September 16th
NOTES FOR WEEK1
practice problems, no need to hand them in.
Also see the exercises within "Notes for week1"
In topology the cube = the sphere
The class meets Tuesdays and Fridays 8:30-10am in Room 105.
My office hours are: Thursdays, 2-3:30pm and by appointment
GRADING: Homework is posted every Friday and is due the next Friday.
You can get 100 pts on Homework, 100 pts on the Midterm and 100 pts on the Final. That is 300 points altogether.
The class is curved with the median placed at around B+. The Midterm date is October 21st, Friday