Obama leads by a single point -- 49%-48% -- in the latest Politico/George Washington University Battleground Poll released Monday morning, well within the margin of error.
On the other hand, Romney leads 50%-48% in the poll's 10 top "battleground states:" Colorado, Florida, Iowa, Michigan, Nevada, New Hampshire, North Carolina, Ohio, Virginia and Wisconsin.
A Washington Post-ABC News poll gives Obama a 49%-46% lead among likely voters.
Various polls also show a tossup race in the Electoral College.
Obama once led most polls, but things have tightened in recent days for one major reason: The first debate on Oct. 3, perceived by many as a Romney victory.
Obama and Romney debate again Tuesday night in New York, and a third time a week from tonight in Boca Raton, Fla.
Some other highlights of the Politico-GWU Battleground Poll:
-- Of the 86% of voters who watched the first presidential debate, three in four declared Romney the winner; only 16% thought Obama prevailed.
-- Romney leads with independents by 8 points, 49%-41%.
-- Obama still leads with women, 54%-43%.
-- Regardless of whom they're supporting, only 53% of voters now believe Obama will win the election (down from 61% before the first presidential debate).
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