NEW YORK — Obesity is still rising among American adults, despite more than a decade of public-awareness campaigns and other efforts to get people to watch their weight, and women have now overtaken men in the obese category, new government research shows. For the past several years, experts thought the nation's alarming, decades-long rise in obesity had leveled off. But the Centers for Disease Control and Prevention said in a report Thursday that the obesity rate climbed to nearly 38 percent of adults in 2013-14, up from 32 percent about a decade earlier.