Winter 2013

MAT 434 Homework

1.      Section 1.1 #2,3,4,6,8; section 1.2 #2,3,5; section 1.3 #1,3,5; section 2.1 #1-5

2.      Section 2.2 #1(i)-(iii),3,4; section 2.3 #4,5; section 3.1 #3,4; section 3.2 #2,4,5,11; section 3.3 #2,3,5,6

3.      Section 4.1 #3,11,13,15,17; section 4.2 #1,4,5

4.      Section 4.3 #1-6; section 5.1 #1-5. 10; section 5.2 #1-6

5.      Section 6.1 #3,9(take metrizable to mean metric),10; section 6.2 #1,2,9; section 6.3 #1,3,4, prove that (0,1) is completely metrizable.(Hint: 1/x + 1/(x-1) is useful for this.); section 6.4 #1

6.      Section 7.1 #1,2,3(i)-(vi),4,6; section 7.2 #1-5,9

7.      Section 8.1 #2-7; section 8.2 #1-3

8.      Section 9.2 #1,5; section 10.2 #1-5