Giuliani has remained coy about his plans. Republicans are pushing him as a possible candidate for governor.
A poll in May showed Giuliani gaining ground on Democrat Attorney General Andrew Cuomo in a theoretical 2010 matchup.
The Quinnipiac poll had Cuomo leading 47 percent to 41 percent. That was down from a 17-point spread in April. It said either could defeat Democratic Gov. David Paterson.
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