On Thursday, Filner's fellow Democrats abandoned him when the San Diego County Democratic Party voted 34-6 to call on the mayor to resign.
"We are not here to determine guilt or innocence," the party said in a statement. "However, in the best interest of the city, the San Diego County Democratic Party has voted to ask Mayor Filner to step down, seek the personal help that he needs, and allow San Diego to move forward."
Jackson's lawsuit, filed Monday in state court, names Filner and the city as defendants. San Diego City Attorney Jan Goldsmith said his office will defend the city but not Filner, who he said has hired his own lawyer.
The ramifications go beyond political: Filner was supposed to be the keynote speaker at a meeting of women veterans next month on the issue of sexual assault in the military.
He has since been disinvited.
What the mayor has said
As the allegations of sexual harassment began to mount, Filner responded this month by releasing a video statement on YouTube in which he admitted wrongdoing and vowed to change.
"I am embarrassed to admit that I have failed to fully respect the women who work for me and with me, and that at times I have intimidated them," he said in the July 11 video statement. "It's a good thing that behavior that would have been tolerated in the past is being called out in this generation for what it is: inappropriate and wrong."
Despite his mea culpa, the calls for his resignation began to mount.
Last week, Filner issued another statement rejecting those calls, saying that he believes he will be vindicated by "a full presentation of the facts." But he also acknowledged, "I need help," and added, "I'm clearly doing something wrong."
Then on Monday, Jackson -- the first of the women leveling the claims -- came forward when she filed suit against him. In response to her lawsuit, Filner issued a statement saying he was "saddened" by the accusations, but "I remain committed to the people of San Diego and the work that needs to be done."
"Once due process is allowed to unfold, I am certain there will be a better understanding of this situation," he said, adding, "I humbly ask that through this vicious storm of controversy, people take a moment and temper their rush to judgment."
When CNN's Casey Wian approached Filner at a trolley station groundbreaking event on Thursday, he avoided his and other reporters' questions.
What San Diego residents think
A poll conducted this week by the San Diego Union Tribune and the local ABC affiliate, 10 News, found a growing number of San Diego's residents want the mayor to resign. Nearly 70% of those polled said Filner should step down, a 10-point increase from two weeks ago, when allegations first started to emerge, the newspaper reported.
A more informal poll of San Diego residents this week outside City Hall mirrored those findings.
But one resident, interviewed by CNN iReporter Chris Morrow, explained why he still supports Filner.
"He's actually really good for this city's population, especially the homeless population out here; I know he definitely cares about them ... I think it'd be a very, very bad move to see that gentleman resign."
Another man, who identified himself as homeless, disagreed.
"I actually voted for Filner ... he was a good man, I like what he's doing for the homeless, 'cause I'm homeless myself. But for something like that to go on, and people actually stepping up, and him admitting to what he had done, I do believe he should resign."