Local System
In mathematics, local coefficients is an idea from algebraic topology, a kind of half-way stage between homology theory or cohomology theory with coefficients in the usual sense, in a fixed abelian group A, and general sheaf cohomology which, roughly speaking, allows coefficients to vary from point to point in a topological space X. Such a concept was introduced by Norman Steenrod.
Read more about Local System: Formal Definition, Applications, Links
Famous quotes containing the words local and/or system:
“These native villages are as unchanging as the woman in one of their stories. When she was called before a local justice he asked her age. “I have 45 years.” “But,” said the justice, “you were forty-five when you appeared before me two years ago.” “Señor Judge,” she replied proudly, drawing herself to her full height, “I am not of those who are one thing today and another tomorrow!””
—State of New Mexico, U.S. public relief program (1935-1943)
“Our system is the height of absurdity, since we treat the culprit both as a child, so as to have the right to punish him, and as an adult, in order to deny him consolation.”
—Claude Lévi-Strauss (b. 1908)