It seems to me that potential presentation problems are growing a
bit unclear, so I wanted to be more explicit. Here's an
attempt. Please tell me if it needs more work:
31
Review Chapter 1 - plenty to choose from -
choose interesting
2
3.1-2 (finish the half-paragraph on p. 73, then
skip to Def. 2.4 on p. 74) 4, 6 + Handout 2-3 "show topology"
part.
7
some 3.3 (just p. 76 starting with "Given two
distinct points ending with the paragraph on the top of p. 77) 3,
4 (using topological space in the place of "neighbourhood space",
and open set in the place of "neighbourhood") + Handout 15, 17
"show basis" part, 19, 22 "show basis" part.
12
3.4 (skip p. 81 and Lemma 4.1 on p. 82) 1, 3,
4, 5, 7, 8, Handout 1 (not derived set), 2 closure part, 3 closure
parts, 4 (not derived set), 6, 8, 9, 10, 11, 12, 13, 14.
14
3.5 (skip the top of page 88, before Theorem
5.3, which we will use as a definition; therefore skip its proof)
1, 3, Handout (this material is in chapter 3 in that book, so it's
after #32) 1, 2, 3, 4, 7
16
3.6 1 (including the implied "prove"), 2, 3, 4, 6, 7, Handout -
26, 27, chapter 3: 8
19 3.7 1-5, no
handout problems - yet
21
3.8 1, 2 (very important previewing our surface work), 3, 4, 5,
and again the handout problems don't yet go that far.
12
4.2 1-5; Handout 1, 3, 4, 7, 8, 9 (a-c, note Fr(A) is the boundary
of A), 10.
14 4.3 1-3, 4.4 4; I think there are no handout problems for this material - maybe leftovers from last time?
18 4.5 (don't worry about local connectedness) 1, 2, 4; 4.6 1-6; Handout 11, 12, 14, 15, 17-27
21 5.2 1-6; Handout 1-6, 10, 12-15, 17-20
26 5.3 1-4; Handout leftovers? 5.4 1-3; Handout leftovers?