Whitney Conditions

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In differential topology, a branch of mathematics, the Whitney conditions are conditions on a pair of submanifolds of a manifold introduced by Hassler Whitney in 1965. A finite filtration by closed subsets Fi of a smooth manifold such that the difference between successive members Fi and F(i ¿ 1) of the filtration is either empty or a smooth submanifold of dimension i, is called a stratification. The connected components of the difference Fi ¿ F(i ¿ 1) are the strata of dimension i. A stratification is called a Whitney stratification if all pairs of strata satisfy the Whitney conditions A and B, as defined below.

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Pagina's: 84, Paperback, Betascript Publishers