Lawmakers and the White House agreed on nearly $484 billion in new aid for small businesses, hospitals and testing efforts.

Italy announced plans to begin easing its lockdown, the most severe in Europe, probably by early May.

Some cherished national traditions are canceled: Oktoberfest in Germany; the running of the bulls in Spain.

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Moves to relax rules in some states run into resistance

The governors of some states, including Georgia, are easing stay-at-home orders and allowing some businesses to reopen, despite immense criticism and loud warnings from public health experts that the coronavirus outbreak has not leveled off.

Otherwise eager business owners and mayors of cities large and small are pushing back, arguing that testing is not widespread enough to reopen safely, and that doing so too soon could spark another wave of infections.

“That could be setting us back,” Anthony S. Fauci, the director of the National Institute of Allergy and Infectious Diseases, said of the moves to reopen. “It certainly isn’t going to be helpful.”

Staring Friday, people in Georgia, which has more than 19,000 confirmed cases of the coronavirus and 800 deaths, will be able to go to the gym or get a haircut, pedicure or tattoo. Next Monday, the state’s restaurants and movie theaters will be permitted to reopen.