Homework due Friday, August 26, in Exercises 1.2:
1. (b) (d)
2. (d) (g)
3. (a) (b) (c) (d)
4. (b)
5.
Homework due Friday, September 2:
Re-do the proof in the book for the first part of 1.2.16 using complement notation.
Section 1.2: 9(b)(c)(d), 12
Section 1.3: 1, 2, 6
Homework due Friday, September 9:
Section 1.2: 13
Section 1.3: 8
Section 1.4: 1(c), 4, 5
Homework due Monday, September 12:
Section 1.4: 3(c)(d), 9, 5
Section 1.5: 1(c)(d), 2(c)(d), 3(a); finish the proof of 1.5.4.
Homework due Wednesday, September 21:
Section 2.1: 8
Section 2.2: 5, 9
[postponed to Wednesday, September 28]
Section 2.2: 1(d)(e)(f)(g)(h)
Section 2.3: 1, 5, 13
Homework due Monday, September 26:
Section 2.3: 2, 4, 9, 15
Homework due Friday, September 30:
Call a topological space a door space if every subset is either open or
closed. Show that both the particular point topology and the excluded
point topology (page 36, numbers 3 and 4) are door spaces.
Do a proof of 2.4.4 based on 2.4.6 and 2.4.7.
Do Exercises 1, 2 and 4 on page 44.