Not only are New Yorkers grieving over last Tuesday's events, but they are also further saddened by the fact that they well soon be losing their mayor, Rudolph Giuliani. Though his constituents have at times maintained a love-hate relationship with the tough-as-nails mayor, since Tuesday's tragedy he has been an indefatigable tower of strength for the city to lean on. Ironically, last Tuesday was actually primary day in the race to begin replacing him. Having served two terms, the 57-year-old, Brooklyn-born mayor is not eligible to run again. (The primarily has been rescheduled to take place Sept. 25. The general election is set to occur in November, with an inauguration of a new mayor in January.) Still, there has been talk of extending term limits, in order to keep Giuliani on the job. On Monday, ABC newswoman Barbara Walters interviewed Giuliani, and after pointing out how New Yorkers generally feel the need for him to remain in office, asked him the question on everyone's mind: "Is there any possibility that you would stay on in any capacity under a new mayor?" Giuliani replied: "I think those are more like political questions. I almost can't deal with those now. It seems to me my job is to . . . try to put a really very effective transition in place once a new mayor is selected." Giuliani went on to say, "This week that we just ended is the worst week in the history of the city of New York. It could be one of the worst weeks in the history of America. We've been never attacked at this dimension before, certainly not within the continental United States. But it also turns out to be the best week in the history of the city. I mean the bravery, the dedication, the enormous love, and the support from the rest of America gives the city remarkable, remarkable strength. So I think we can already see the way in which we're going to recover and be stronger. But we're going to have to go through tremendous pain first."