<p>According to race localism, there is no meaningful sense in which a person’s race remains the same across contexts as different as the United States, Brazil, Senegal, and so on. Against localism, race globalists argue that race is global because there are transnational connections between racialized groups. I argue that both positions capture important insights but rely on a misleading category-first framing of race. I propose a spatial theory of race, according to which race concepts and categories pick out regions of a multidimensional racial space, where the relevant dimensions include ancestry, skin color, and social identity. Race is local because different contexts racialize groups in different ways, leading to different racial kinds. Race is global because racialization operates against a shared set of dimensions. The spatial theory explains how race can vary across contexts while remaining systematically connected across them.</p>