The building at 175 Delancey Street recently finished construction within the large-scale Essex Crossing megadevelopment, containing a total of 99 well-appointed studios distributed to qualifying applicants through a lottery system, half of them from the neighborhood, with income-based rents ranging from $396 to $1,254 a month. A medical facility run by NYU is on the ground floor, and the building features planted rooftop lounging areas and a café, if you’re lucky enough to win the lottery and you don’t die first. It had 65,000 applicants. The wait lists to get a senior apartment are seven to ten years long, and you can’t apply until you’re 62. My mother’s approval came in the mail about a year after she perished.