Synopsis of each Lecture

Thursday 22/1: I gave an introduction to the subject, and discussed some results we would be able to prove during the course. Then I filled out some gaps from topology 4500 from the first section in the book. I.e. I discussed mapping cylinder, relative homotopies, etc. Finally we went through the section: Cell Complexes excluding example 0.6, which will be discussed later.

Friday 23/1: Proved Theorem 1.8, and starter on section 1.2 Van Kampen's Theorem.

Thursday 29/1: Continued on section 1.2, and started the proof of Van kampens theorem.

Friday 30/1: Finished the proof of Van kampens theorem.

Thursday 5/2: Continued on section 1.2 and Abelianization of groups (notes).

Friday 6/2: Continued on section 1.2 and some more group theory (notes).

Thursday 12/2: Went back to chapter 0 and went through various operations on spaces and started on the subsection: The Homotopy Extension Property.

Friday 13/2: Finished in chapter 0 with proposition 0.18 and went back to section 1.2 subsection: Applications to Cell complexes.

Thursday 20/2: Finished section 1.2 and started Section 1.3 proving proposition 1.30.

Friday 21/2: Proposition 1.31 and consequences mentioned in the introduction to the section. proposition 1.32 and started proof of 1.33.

Thursday 27/2: Continued and finished construction of simply connected covering space.

Friday 28/2: Continued to mid page 67.

Thursday 5/3: Continued, but skipped subsection: Representing Covering spaces by permutations, finished proof of 1.39.

Friday 6/3: Continued to end of proof of 1.40 and went through example 1.41

Thursday 12/3: Continued to end of page 74. Started on chapter 2.

Friday 13/3: Continued in chapter 2 to and including example 2.3.

Thursday 20/3: Continued in chapter 2 to end of sub-section: Homotopy invariance + Started on Theorem 2A.1.

Friday 21/3: Finished Theorem 2A.1.

Thursday 26/3: Did sub-section: Homotopy invariance, and started on Exact sequences and Excision.

Friday 27/3 - Friday 24/3: Continued to mid page 128.