Problem Set III, for Thursday, January 27

Mathematics 114A

Section 1.2, page 28:

• Exercise 10(a,b).   For part (b), give an example of an infinite set with no independent equivalent subset. Of course, you are invited to think about part (c), as well; see the commentary.

Section 1.5, page 53:

• Exercise 10. See the remarks in the commentary.

Section 1.7, page 66:

• Exercise 5. See the remarks on Exercises 5, 6, and 7 in the commentary.
• Exercise 7.   (#5 is an example for this.)
• Exercise 12. See the remarks in the commentary.

Solutions will be distributed in class on Friday, January 28.