The topic of this course is the fundamental group and covering spaces. Here are recommended books (the order is random):

Massey: Basic course in algebraic topology (or Algebraic topology, an introduction)

Munkres: Topology 2nd edition (The first edition does not include our material)

Bredon: Topology and geometry

Hatcher: Algebraic topology (appears at www.math.cornell.edu/~hatcher)

Singer and Thorpe: Lecture notes on elementary topology and geometry

Lawson: Topology, a geometric approach

Our procedure for defining homotopies on quotient spaces is justified by Theorem 20.1 of Munkres - Elements of Algebraic Topology. Take C to be the unit interval I, which is indeed locally compact.

HOMEWORK:

We will discuss the homework in the second half of class on the following dates: 7.11.18, 21.11.18, 5.12.18, 19.12.18, 2.1.19, 16.1.19.

HW1 (to be done by 24.10.18)

HW2 (to be done by 31.10.18)

HW3 (to be done by 7.11.18)

HW4 (to be done by 14.11.18)

HW5 (to be done by 21.11.18)

HW6 (to be done by 28.11.18)

HW7 (to be done by 5.12.18)

HW8 (to be done by 12.12.18)

HW9 (to be done by 19.12.18)

HW10 (to be done by 26.12.18)

HW11 (to be done by 2.1.19)

HW12 (to be done by 9.1.19)

HW13 (to be done by 16.1.19)

Exams from previous years: 17A+17B, 18A, 18B.