<p>A covered pool structure (10) for containing a liquid (12). The liquid (12) defines a liquid top surface (13). The covered pool structure (10) includes a membrane (14) for containing the liquid (12), the membrane (14) defining a bottom wall (16) and a peripheral wall (18) extending therefrom. The peripheral wall (18) defines a top edge (20). A rim (22) extends from the peripheral wall (18) substantially adjacent the top edge (20). The rim (22) has a substantially toroidal configuration. An attachment flange (24) extends from the peripheral wall (18) substantially adjacent the rim (22). The attachment flange (24) is located peripherally relatively to the peripheral wall (18). A covering structure (26) defines a substantially flexible covering section (28) positionable so as to extend across the liquid top surface (13) and an attachment section (30) extending substantially peripherally and outwardly from the covering section (28). An attachment flange-to-attachment section releasable attachment (32) extends between the attachment flange (24) and the attachment section (30) for releasably attaching the attachment flange (24) and the attachment section (30) to each other. The attachment flange (24) and the attachment section (30) are both substantially resiliently deformable and have substantially similar elasticity moduli.</p>