Fuji (apple) list of most popular apples, only trailing Red Delicious and Gala. Fuji apples are grown in traditional apple-growing states such as Washington, Michigan, New York, and California. Washington State, where more than half of America's apple crop is grown, produces about 135,000 tons of Fuji apples each year, third in volume behind Red Delicious and Gala varieties. Fuji apples have recently been projected by the US Apple Association to be in 4th place as America's favorite apple. Many sports (mutant cultivars) of the Fuji apple have been recognized and propagated. In addition to those that have remained unpatented, twenty had
History of manifolds and varieties spaces with a differentiable or topological structure, while "variety" refers to spaces with an algebraic structure, as in algebraic varieties. In Romance languages, manifold is translated as "variety" – such spaces with a differentiable structure are literally translated as "analytic varieties", while spaces with an algebraic structure are called "algebraic varieties". Thus for example, the french word "" means topological manifold. In the same vein, the Japanese word "" (tayōtai) also encompasses both manifold and variety. ("" (tayō) means various.) Ancestral to the modern concept of a manifold were several important results of 18th and 19th century mathematics. The oldest