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Unformatted text preview: 2. Eccles, page 143, Exercises 11.1, 11.5. [For 11.1, instead of following the solution in the back of the book, try the following hint: If f : N n X is a surjection, dene a map g : X N n by letting g ( x ) the smallest element i N n such that f ( i ) = x . Show that g is well-dened, and use Proposition 11.1.4.] 3. Eccles, page 184, Problem 9, 10, 11. [Hint for #9: Use the theorem I stated in class on properties of nite sets.] Extra Credit: Eccles, page 185, Problem 20....
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- Spring '08