Here are recommended books:

Vick: Homology Theory

Bredon: Topology and geometry

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

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

Lawson: Topology, a geometric approach

HOMEWORK:

We will discuss the homework in the second half of class on the following dates: