For the sorting of stars in astronomy, see Stellar classification.
Tool in homological algebra
This article includes a list of general references, but it lacks sufficient corresponding inline citations. Please help to improve this article by introducing more precise citations.(December 2023) (Learn how and when to remove this message)
In homological algebra and algebraic topology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization of exact sequences, and since their introduction by Jean Leray (1946a, 1946b), they have become important computational tools, particularly in algebraic topology, algebraic geometry and homological algebra.
algebraic topology, a spectralsequence is a means of computing homology groups by taking successive approximations. Spectralsequences are a generalization...
In mathematics, the Leray spectralsequence was a pioneering example in homological algebra, introduced in 1946 by Jean Leray. It is usually seen nowadays...
the Serre spectralsequence (sometimes Leray–Serre spectralsequence to acknowledge earlier work of Jean Leray in the Leray spectralsequence) is an important...
demonstrated that the O-B-A-F-G-K-M spectralsequence is actually a sequence in temperature. Because the classification sequence predates our understanding that...
In mathematics, the Adams spectralsequence is a spectralsequence introduced by J. Frank Adams (1958) which computes the stable homotopy groups of topological...
algebra, the Grothendieck spectralsequence, introduced by Alexander Grothendieck in his Tôhoku paper, is a spectralsequence that computes the derived...
chromatic spectralsequence is a spectralsequence, introduced by Ravenel (1978), used for calculating the initial term of the Adams spectralsequence for Brown–Peterson...
topological spaces, and other "tangible" mathematical objects. A spectralsequence is a powerful tool for this. It has played an enormous role in algebraic...
In mathematics, the Bockstein spectralsequence is a spectralsequence relating the homology with mod p coefficients and the homology reduced mod p. It...
spectralsequence is a spectralsequence, introduced by J. Peter May (1965, 1966). It is used for calculating the initial term of the Adams spectral sequence...
sequence of vector spaces and linear maps, or of modules and module homomorphisms. In homological algebra and algebraic topology, a spectralsequence...
mathematics known as K-theory, the Quillen spectralsequence, also called the Brown–Gersten–Quillen or BGQ spectralsequence (named after Kenneth Brown, Stephen...
_{i-1}(S^{7}).} Spectralsequences are important tools in algebraic topology for computing (co-)homology groups. The Leray-Serre spectralsequence connects the...
coefficient ring A is Z/pZ, this is a special case of the Bockstein spectralsequence. Let G be a module over a principal ideal domain R (e.g., Z or a field...
In mathematics, the EHP spectralsequence is a spectralsequence used for inductively calculating the homotopy groups of spheres localized at some prime...
earlier stars. The most recent surveys place the coolest true main-sequence stars into spectral types L2 or L3. At the same time, many objects cooler than about...
is a general source of spectralsequences. It is common especially in algebraic topology; for example, Serre spectralsequence can be constructed by first...
thesis, written under the direction of Shaun Wylie, was titled On spectralsequences and self-obstruction invariants. He held the Fielden Chair at the...
Grothendieck's 1957 Tôhoku paper. Sheaves, sheaf cohomology, and spectralsequences were introduced by Jean Leray at the prisoner-of-war camp Oflag XVII-A...