Problem Set I

for Tuesday, January 17

Postponed to Thursday, January 19, at Adrian Ioana's office hours.

These problems are due at the beginning of the discussion section.

Section 1.1, page 5:

Problem 11. For simplicity, it may be assumed that a > 0.
Problem 12, in one direction: Show that if P satisfies (a) and (b), then the relation defined satisfies the five properties (O1) - (O5).

Section 1.2, page 13:

Problem 1. "Describe" is vague, but expressing the set as a finite union of intervals would certainly be a sufficient description.
Problem 2(a, b, c). The same comment applies.
Problem 8.