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.
Read more about Whitney Conditions: The Whitney Conditions in Rn, See Also
Famous quotes containing the word conditions:
“The Supreme Court would have pleased me more if they had concerned themselves about enforcing the compulsory education provisions for Negroes in the South as is done for white children. The next ten years would be better spent in appointing truant officers and looking after conditions in the homes from which the children come. Use to the limit what we already have.”
—Zora Neale Hurston (1891–1960)