In mathematics, the Adams spectral sequence is a spectral sequence introduced by J. Frank Adams (1958) which computes the stable homotopy groups of topological...

algebraic topology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a generalization...

secondary cohomology operations. The Adams–Novikov spectral sequence is an analogue of the Adams spectral sequence using an extraordinary cohomology theory...

chromatic spectral sequence is a spectral sequence, introduced by Ravenel (1978), used for calculating the initial term of the Adams spectral sequence for Brown–Peterson...

construct resolutions of spectra, called Adams resolutions, which are used in the construction of the Adams spectral sequence. For a fixed abelian group A {\displaystyle...

algebras are significant because they can be used to simplify many Adams spectral sequence computations, such as for π ∗ ( k o ) {\displaystyle \pi _{*}(ko)}...

spectral sequence is a spectral sequence, introduced by J. Peter May (1965, 1966). It is used for calculating the initial term of the Adams spectral sequence...

May spectral sequence. At the odd primes, the Adams–Novikov spectral sequence is a more powerful version of the Adams spectral sequence replacing ordinary...

Eilenberg-Maclane spaces", arXiv:0805.4432 [math.AG] The motivic Adams spectral sequence Motivic chromatic homotopy theory Jardine. (1999) Motivic Symmetric...

free resolutions of spectra yielding a tool for constructing the Adams spectral sequence. Essentially, the idea is to take a connective spectrum of finite...

the Adams spectral sequence for j ≥ 3 {\displaystyle j\geq 3} . In addition, he made extensive computations of the structure of the Adams spectral sequence...

brought into close relation with that of the symmetric group. In the Adams spectral sequence the bicommutant aspect is implicit in the use of Ext functors,...

Problem". arXiv:2412.10879 [math.AT]. "Computing differentials in the Adams spectral sequence | Math". www.math.princeton.edu. Retrieved 2025-05-05. Klarreich...

Spectral Sequences - Allen Hatcher - contains excellent introduction to spectra and applications for constructing Adams spectral sequence An untitled...

contains many explicit examples R. R. Bruner (June 2, 2009). "An Adams Spectral Sequence Primer" (PDF). Archived from the original (PDF) on 2013-01-07....

in relative isolation. Among other advances he showed how the Adams spectral sequence, a powerful tool for proceeding from homology theory to the calculation...

being commutative and provided technical tools for computing the Adams spectral sequence in many cases (such as π ∗ ( M U ) {\displaystyle \pi _{*}(MU)}...

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...

in algebraic and differential topology – in particular, on the Adams spectral sequence – until the early seventies. Between the sixties and the seventies...

ISSN 1469-7750. S2CID 119170255. "Computing differentials in the Adams spectral sequence | Math". www.math.princeton.edu. Retrieved 4 May 2025. Akbulut...

example, the notion of cofibration sequence and fibration sequence are equivalent. Adams filtration Adams spectral sequence Chromatic homotopy theory Equivariant...

Hertzsprung–Russell diagram Spectral type O B A F G K M L T Brown dwarfs White dwarfs Red dwarfs Subdwarfs Main sequence ("dwarfs") Subgiants Giants Red...

c\rangle } of elements in the E r {\displaystyle E_{r}} -page of the Adams spectral sequence contain a permanent cycle, meaning has an associated element in...

Wang, proved that h 6 2 {\displaystyle h_{6}^{2}} survives in the Adams spectral sequence so that there exists a manifold of Kervaire invariant 1 in dimension...

p-completion of X {\displaystyle X} . Miller's proof involves an unstable Adams spectral sequence, Carlsson's proof uses his affirmative solution of the Segal conjecture...

{\displaystyle 7} -connected cover called the fivebrane group. Adams spectral sequence Eilenberg–MacLane space CW complex Obstruction theory Stable homotopy...

older brother, Frank Adams, who became an accomplished mathematician, known for the Adams spectral sequence, Adams operations and Adams conjecture. Michael...

Mahowald, Mark; Rezk, Charles (1999). "Brown-Comenetz duality and the Adams spectral sequence". American Journal of Mathematics. 121 (6): 1153–1177. doi:10.1353/ajm...

know the spectral type of the star. The spectral type can be determined by observing the star's spectrum. If the star lies on the main sequence, as determined...

in the sense of Bousfield and Kan cited above, and the unstable Adams spectral sequence strongly converges for any such space. Let X be a nilpotent space...