The present invention relates to a collapsible or foldable structure suitable for a variety of applications, such as animal bed, animal shelter or animal carrier. The structure in its collapsed state forms an animal bed and when fully erect forms an animal shelter or carrier. The structure comprises a first layer and a second layer that are fused together by a seam or a crease. When in the collapsed stated, the second layer forms the base of the pet bed and the first layer is collapsed against the second layer to form a pet bed. The first layer is comprised of flexible or semi-flexible material that can be lifted upward and separated from the second layer to form the roof and sides of an animal shelter or carrier when fully erect. The first layer may include seams or creases for ease of conversion and structural stability. The first and second layers may be formed from semi-flexible foam covered with fabric. Optionally, the first and second layers may be made of materials that have insulating or waterproof qualities. Additionally, the structure may include a pillow for being positioned on top of the second layer when the structure is in the erect state and on top of the first layer when the structure is in its collapsed state, acting as a pet bed.