Most organic polymers are named based on the monomers used in their production. However, polyvinyl alcohol (PVA) is not made from vinyl alcohol, but instead from vinyl acetate that is hydrolyzed after
Poly(vinyl alcohol) [88 mol.% hydrolyzed] | Polysciences, Inc.
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Vinyl alcohol - Wikipedia
Polyvinyl alcohol
Vinyl Alcohol, Tautomerism, and Earth's Atmosphere