Today, it is widely accepted that there are eight Arctic states: Canada, Denmark, Finland, Iceland, Norway, Russia, Sweden, and the United States. Their identity is determined by their topographical geography, which encompasses territories north of the Arctic Circle. According to this topographical logic, Britain, too, was once an Arctic state, but it now refers to itself as the Arctic’s ‘nearest neighbour’. However, as this chapter argues, proximity is not solely about topography. It is also about topology—in other words, the extent to which Britain and the Arctic are folded together and connected by flows of bodies, knowledges, resources, and practices. In the absence of a contemporary Arctic topography, it is these topologies which give Britain a stake in the future of the region.