Abstract: The present disclosure relates generally to the field of medical treatment and therapy of mammalian tissue. More specifically, it relates to coverings and/or dressings that provide negative pressure at mammalian tissue sites, such as at one or more sites of surgical, non-surgical, and/or traumatic wounds, to promote closure and healing of the wounds. A key embodiment of the disclosed invention entails the use of a dressing that comprises a sponge that is shaped so as to create a vector force inward bringing wound edges together to promote healing, especially upon application of negative pressure. Other key features of the disclosed invention are its simplicity, its low cost, and that it is completely mechanical and lacks the need for any electronic components. The disclosure also relates to devices, systems, kits and methods for providing said negative pressure at said mammalian tissue sites and promote healing.