ARE, Sweden (AP) — World champion Jean Frederic Chapuis of France held off Germany's Armin Niederer to win a ski cross rase Sunday, helping Alex Fiva of Switzerland clinch the World Cup title.

Fiva won the small final to keep an insurmountable 105-point lead over Niederer in the standings with one race left.

In the women's race, World Cup leader and world champion Fanny Smith of Switzerland showed her class by winning all her three starts in style after failing to qualify for the finals the previous day. Reigning World Cup champion Marielle Thompson of Canada was second.

Smith has 576 points at the top of the standings followed by France's Ophelle David at 487.