HSE

Math in Moscow

Math in Moscow schedule

## Topology-1 (fall 2012)

### Joint course with the Math in Moscow program

- Problem set 1:
Open and closed sets in subsets of
*R*^{n}.

Homework 1 (due September 13): Problems 1.1, 1.3 and 1.6.
- Problem set 2:
Quotient topology and connectedness.

Homework 2 (due September 20): Problems 2.2b, 2.3 and 2.4.
- Problem set 3:
Compactness.

Homework 3 (due September 27): Problems 3.1, 3.3, 3.4 and 3.5.
- Problem set 4:
Homotopy equivalence.
- Problem set 5:
Fundamental group.

Homework 5 (due October 11): 5.2b except the last question, 5.3a

Homework 6 (due October 18): 5.1, 5.3b, 5.3c.
- Problem set 6:
Hopf bundle and around. Homework due November 8.
- Problem set 7:
Coverings. Homework due November 22, no class
November 15.
- Problem set 8:
Fundamental theorem of algebra. Homework due November 29.

The final exam will take place on December 6, 2012, at 9.00.