Leche cortada, the vendor called it. This was his shorthand for a walkup clientele who knew what's what, and who could see that almost all his wares, whether served in a cup or in cookie-like form, clearly fell into the category of "dulces" — "sweets." He didn't need to trouble with the full name, "dulce de leche cortada" — a "sweet of curdled milk."
The dulce de leche I once bought from a nearby bakery was, in retrospect, a more caramelized version that perhaps also relied more heavily on brown sugar. Raisins are typical; common flavorings include vanilla extract, lime peel (removed before serving), and cinnamon-like sticks of canella (one rested at the bottom of my cup). Invariably the recipes specify that as the milk cooks down, the resulting curds mustn't be broken up too finely; leche cortada should have a fudgy richness, but it ought to have some texture, too.
Dominican sweets table
Broadway near the southeast corner with 160th St., Manhattan
Hours very irregular