Disclosed is a shoe having a compressible lattice structure in a heel portion to facilitate rapid, easy donning and doffing of shoes. In example embodiments, the lattice structure includes a plurality of interconnected, overlapping, intersecting and/or woven ribs defining a plurality of apertures. The lattice structure has an open position in which the shoe opening is expanded to facilitate reception of a foot of an individual wearing the rapid-entry shoe, and a closed position in which the shoe opening is smaller to retain the foot within the rapid-entry shoe.