A new SurveyUSA poll of Ohio shows John Edwards as the strongest Democrat in the key swing state, well ahead of Hillary Clinton's performance:

Giuliani (R) 48%, Clinton (D) 47%
Clinton (D) 48%, Thompson (R) 47%
Clinton (D) 52%, Romney (R) 42%
Giuliani (R) 52%, Obama (D) 39%
Thompson (R) 50%, Obama (D) 42%
Romney (R) 46%, Obama (D) 45%
Giuliani (R) 48%, Edwards (D) 47%
Edwards (D) 52%, Thompson (R) 43%
Edwards (D) 56%, Romney (R) 36%

Edwards' focus on class issues appears to play well here, while Obama's more cerebral approach doesn't look like it's hitting a nerve. Hillary Clinton could well win Ohio herself, but based on these numbers it would be a tight race.