Provided is a fibrous product that has excellent anti-allergen and antiviral properties, is capable of maintaining excellent outer appearance, and is less likely to cause color migration. Also provided is a processing agent for producing the fibrous product. The fibrous product of the present invention is characterized in having attached to the surface thereof (a) 1.0 to 3.0 g/m.sup.2 of zirconium phosphate, (b) 0.12 to 0.4 g/m.sup.2 of a homopolymer formed of an aromatic sulfonic acid monomer, and (c) 0.2 to 0.8 g/m.sup.2 of a copolymer including a styrene sulfonate salt. In addition, the processing agent of the present invention is characterized in being an aqueous dispersion that contains the components (a), (b), and (c) in a weight ratio of 1.0 to 3.0:0.12 to 0.4:0.2 to 0.8.

Provided is a water dispersion that suppresses fuzz of a cut end surface of a carbon fiber bundle, can improve bundling properties of carbon fibers and ILSS of laminated bodies of UD sheets, and can be used as a carbon fiber sizing agent in a unidirectional material. The dispersion has a resin component that: includes an ethylene.Math.-olefin copolymer (A) or an acid modified product (B) thereof satisfying all of requirements (a1) to (a3); has a storage elastic modulus at 25 C. of 100-100,000 MPa or less; and is present in a ratio of 0.01-50 mass % or less. Requirements: (a1) the kinematic viscosity at 100 C. is 10-5,000 mm.sup.2/s; (a2) the content ratio of structural units derived from ethylene is 30-85 mol %; and (a3) the molecular weight distribution (Mw/Mn) of molecular weight obtained by polystyrene conversion measured by gel permeation chromatography (GPC) is 2.5 or less.