Allen Hatcher: Algebraic Topology, 2002. Cambridge University Press. ISBN: 0-521-79540-0. The Book can be downloaded on the authors homepage.
We will cover most parts of chapter 0 and 1 not covered in MAT4500 and most of chapter 2.
Precise Syllabus
For the sake of overview all exclusions are in parenthesis.
Chapter 0: From page 1 to end of proof of proposition 0.18 - excluding: (House with two rooms + example 0.2) (In subsection: operations on Spaces: Join and smash product.) (Example 0.9 + 0.10 + 0.12 + 0.13 + 0.14 + 0.15.)
Chapter 1:
Section 1.1: Theorem 1.8 with proof.
Section 1.2: All - Excluding: (example 1.25)
Section 1.3: From beginning to end of page 74 - excluding: (Example 1.35) (sub-subsection: Representing Coverings by permutations)
Chapter 2:
Section 2.1: All.
Section 2.2: From beginning to and including example 2.36, example 2.42, sub-subsection: Euler Characteristic, subsection: Mayer-Vietoris Sequence - from beginning to and including example 2.47. Excluding: (The infinite dimensional case of lemma 2.34).
Topic 2.A: from page 166 to and including first paragraph on page 168.
Topic 2.B: from page 169 to middle of page 174.
Also: The two notes put on the main page.