The term Fur generally refers to the thick coat of soft hair that covers the skin of some animals, which is used in the making of garments as trimming decoration or as lining in footwear. Most recently, out of concern and protection towards animals, faux Fur has been developed from synthetic fibers to resemble very closely natural Fur and still maintains the same properties of softness and warmth.
About Slippers:
A type of shoe typically designed for indoor use that can be a variety of styles, including slides, mocassins, scuffs, booties, thongs, or loafers. Usually the uppers are made of soft leather or other fabrics (as opposed to tougher fabrics like hard leather that regular shoes are made of) and are sometimes lined with soft materials like felt, shearling or wool.