- spectral sequence
- мат. спектральная последовательность
Большой англо-русский и русско-английский словарь. 2001.
spectral sequence
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Spectral sequence — In the area of mathematics known as homological algebra, especially in algebraic topology and group cohomology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a… … Wikipedia
Adams spectral sequence — In mathematics, the Adams spectral sequence is a spectral sequence introduced by Adams (1958). Like all spectral sequences, it is a computational tool; it relates homology theory to what is now called stable homotopy theory. It is a… … Wikipedia
Serre spectral sequence — In mathematics, the Serre spectral sequence (sometimes Leray Serre spectral sequence to acknowledge earlier work of Jean Leray) is a basic tool of algebraic topology. It expresses the singular (co)homology of the total space E of a (Serre)… … Wikipedia
Eilenberg-Moore spectral sequence — In mathematics, in the field of algebraic topology, the Eilenberg Moore spectral sequence addresses the calculation of the homology groups of a pullback over a fibration. The spectral sequence formulates the calculation from knowledge of the… … Wikipedia
Grothendieck spectral sequence — In mathematics, in the field of homological algebra, the Grothendieck spectral sequence is a technique that allows one to compute the derived functors of the composition of two functors Gcirc F, from knowledge of the derived functors of F and G… … Wikipedia
EHP spectral sequence — In mathematics, the EHP spectral sequence is a spectral sequence used for inductively calculating the homotopy groups of sphereslocalized at some prime p . It is described in more detail in harvtxt|Ravenel|2003|loc=chapter 1.5 and… … Wikipedia
Lyndon–Hochschild–Serre spectral sequence — In mathematics, especially in the fields of group cohomology, homological algebra and number theory the Lyndon spectral sequence or Hochschild Serre spectral sequence is a spectral sequence relating the group cohomology of a normal subgroup N and … Wikipedia
Leray spectral sequence — In mathematics, the Leray spectral sequence was a pioneering example in homological algebra, introduced in 1946 by Jean Leray. The formulation was of a spectral sequence, expressing the relationship holding in sheaf cohomology between two… … Wikipedia
Atiyah–Hirzebruch spectral sequence — In mathematics, the Atiyah–Hirzebruch spectral sequence is a computational tool from homological algebra, designed to make possible the calculation of an extraordinary cohomology theory. For a CW complex X , or more general topological space, it… … Wikipedia
Chromatic spectral sequence — In mathematics, the chromatic spectral sequence is a spectral sequence, introduced by Ravenel (1978), used for calculating the initial term of the Adams–Novikov spectral sequence for BP cohomology, which is in turn used for calculating the stable … Wikipedia
May spectral sequence — In mathematics, the May spectral sequence is a spectral sequence, introduced by J. Peter May (1965, 1966), used for calculating the initial term of the Adams spectral sequence, which is in turn used for calculating the stable homotopy groups … Wikipedia
