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Was (wer) ist Čech-to-derived functor spectral sequence - definition
Čech-to-derived functor spectral sequence
In algebraic topology, a branch of mathematics, the Čech-to-derived functor spectral sequence is a spectral sequence that relates Čech cohomology of a sheaf and sheaf cohomology.
Serre spectral sequence
SPECTRAL SEQUENCE RELATING THE SINGULAR COHOMOLOGY OF THE TOTAL SPACE OF A SERRE FIBRATION IN TERMS OF THE COHOMOLOGIES OF THE BASE SPACE AND THE FIBER
Leray-Serre spectral sequence; Leray–Serre spectral sequence; Spectral sequence for the covering
In mathematics, the Serre spectral sequence (sometimes Leray–Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an important tool in algebraic topology. It expresses, in the language of homological algebra, the singular (co)homology of the total space X of a (Serre) fibration in terms of the (co)homology of the base space B and the fiber F.
Spectral sequence
TOOL IN HOMOLOGICAL ALGEBRA
Spectrum sequence; Spectral sequences; Derived couple; Wang sequence; Edge map; Cohomological spectral sequence; Homological spectral sequence
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 , they have become important computational tools, particularly in algebraic topology, algebraic geometry and homological algebra.
