420 Suggested Problems: (from Munkres 2000) section13: 4,7,8 section14: Prove that the topology in the Example 4 of page 85 is not the discrete topology. section16: 1,3,4,6,8,9,10 section17: 4,12,13,16,18,20 section15: Prove that if A is closed in X and B is closed in Y then AxB is closed in XxY. ------------------------------------ section18: 5,11,12 section20: 1,3 section21: 1,2,3,10,12 section22: 2b,3,4,5,6 section23: 1,2,4,5,6,7 section24: 7,8 ------------------------------------ section26: 1,2,3,4,5,6,7,8,9 section27: 1,2a,2b,3,4 section28: 2,3 section29: 1,3,5,6,8 section30: 2,3,4,5a,12 Show that the lower limit topology on the reals is not metrizable. section31: 1,2,4,5,6,7 section32: 1,3 section33: 8 section34: 1,3,4,5 section35: 1,2 section36: Supplementary Exercises p228: 1e,1f,1k,2,3,4,5(finite products only),6