Herman Cain: Sharon Bialeck is a liar

Herman Cain said Tuesday that Sharon Bialeck, the first woman to publicly accuse him of sexual harassment, is a liar, and that he cannot remember meeting her.

"Throughout my career, I have had nothing but the utmost respect for any and all women, as well as those that have worked under my leadership," Cain said during an interview with ABC News' Jonathan Karl prior to a press conference he held on the matter. "I can categorically say I have never acted inappropriately with anyone, period. And as far as these latest charges….I reject all of those charges."

More from GlobalPost: Sharon Bialeck accuses Cain of groping her

Cain, a Republican presidential candidate and the former head of the National Restaurant Association, said that the charges were "baseless" and "bogus."

He said that he "absolutely would" take a lie detector test if he has a good reason to do so, while speaking at the press conference in Arizona Tuesday afternoon, the International Business Times reported.

He reiterated his stance that the accusations against him are false.

Cain has been accused by at least four women of sexual harassment.

Bialeck, a former employee of the National Restaurant Association, became the first woman to publicly accuse Cain of sexual harassment. She said Monday that she approached Cain for assistance getting a job, and he groped her.

Both Cain and his supporters have questioned Bialeck's version of events since her press conference on Monday, CBS News reported.  

Cain's appearance in Arizona has continued the nine-day drama that started after Politico broke the story that two women had filed sexual harassment claims against him when he was the National Restaurant Association chairman.