Abstract: A special bag assembly provides a primary material collection receiver to efficiently, effectively, and safely collect, remove, and dispose asbestos and other hazardous material without exposing surrounding personnel to the collected asbestos or other hazardous material. The primary material collection receiver has a porous or perforated inner bag positioned within the interior of a solid imperforate bag, a perforated inner shell to accommodate expansion of the bags, a shroud to prevent hazardous material from contaminating the outside of the outer bag, and a vacuum tank surrounding the shroud.