Mattress cover component, namely, zipper enclosure mechanism sold as an integral component of mattress covers for preventing zippers from unzipping while also sealing the zipper gap between the zipped-up zipper slide and zipper stop; mattress encasements being mattress covers, box spring encasements being box spring covers, pillow encasements being pillow covers, comforter encasements being covers for duvets and comforter covers being duvet covers.