This paper deploys the concept of topology to examine the emerging geographies of in/equality in Ras Beirut, Lebanon. Known as a site of intense regeneration and social change, this neighbourhood is an interesting site for understanding the ways in which Syrian refugees have been folded into the everyday life and urban fabric of Beirut. Drawing on emerging research conducted by the RELIEF centre that examines how communities affected by mass displacement might build a prosperous and inclusive future, we trace the multiple lines of dis/connection through which Syrian refugees are included and excluded from Lebanese society. In doing so, we move beyond topographic renderings of refuge, to argue for and extend topological approaches to political space in the Levant. Such an approach is vital in the context of Lebanon because it foregrounds spaces of relief and repair for Syrian refugees.