In mathematics, an exact couple, due to William S. Massey (1952), is a general source of spectral sequences. It is common especially in algebraic topology; for example, Serre spectral sequence can be constructed by first constructing an exact couple.
For the definition of an exact couple and the construction of a spectral sequence from it (which is immediate), see Spectral sequence § Spectral Sequence of an exact couple. For a basic example, see Bockstein spectral sequence. The present article covers additional materials.
In mathematics, an exactcouple, due to William S. Massey (1952), is a general source of spectral sequences. It is common especially in algebraic topology;...
research Exact colorings, in graph theory Exactcouples, a general source of spectral sequences Exact sequences, in homological algebra Exact functor,...
g', h') is an exactcouple. C' corresponds to the E1 term of the spectral sequence. We can iterate this procedure to get exactcouples (A(n), C(n), f(n)...
\mathbb {Z} /p\longrightarrow 0.} Taking integral homology H, we get the exactcouple of "doubly graded" abelian groups: H ∗ ( C ) ⟶ i = p H ∗ ( C ) ⟶ j H...
manufacture similar (and compatible) magnetic knuckle couplers. An exact-scale HO model of the AAR coupler has been designed and manufactured by Frank Sergent...
In general relativity, an exact solution is a solution of the Einstein field equations whose derivation does not invoke simplifying assumptions, though...
In mathematics, an exact differential equation or total differential equation is a certain kind of ordinary differential equation which is widely used...
The Tusi couple (also known as Tusi's mechanism) is a mathematical device in which a small circle rotates inside a larger circle twice the diameter of...
in Manila. Initial reports state that she died from cancer, although her exact cause of death was undisclosed by her family. Policarpio, Allan (20 January...
Cohabitation is an arrangement where people who are not married, usually couples, live together. They are often involved in a romantic or sexually intimate...
Oktay Sinanoğlu, which is the exact (and variational) solution of the many-electron problem, so it was also called "coupled-pair MET (CPMET)". J. Čížek...
against couples who are interethnic, interracial, interfaith, interdenominational, inter-caste, transnational, and same-sex as well as immigrant couples, couples...
space X. This spectral sequence can be derived from an exactcouple built out of the long exact sequences of the cohomology of the pair ( X p , X p − 1...
The Biggest Loser: Couples is the fifth season of the NBC reality television series The Biggest Loser. The fifth season premiered on January 1, 2008 with...
outside the lineage even when no exact genealogical relationship is known. Of 277 first marriages, only 84 were between couples unable to trace any genealogical...
temperature scale. Empirical thermometers are not in general necessarily in exact agreement with absolute thermometers as to their numerical scale readings...
uses his own Annihilator because Oktober were not able to make them the exact way that he wanted. In February 2022, he collaborated with Dean Guitars...
documents such as driver licenses, birth certificates, and passports. The exact requirements vary from jurisdiction to jurisdiction; some require sex reassignment...
third, in the exact order. Superfecta: the bettor must pick the four horses that finish first, second, third and fourth, in the exact order. Box: a box...
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