Adams spectral sequence information

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...

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...

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,...

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

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....

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...

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...

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...

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

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

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...

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...

executed. Frank Adams, 58, British mathematician, Professor of Astronomy and Geometry at Cambridge (Adams spectral sequence, Adams conjecture). Alfred...

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

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...

Pure Math, vol. 22, pp. 187–201 Minami, Norihiko (1995), "The Adams spectral sequence and the triple transfer", American Journal of Mathematics, 117...

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...

Mahowald, Mark E.; Tangora, Martin (1967). "Some differentials in the Adams spectral sequence". Topology. 6 (3): 349–369. doi:10.1016/0040-9383(67)90023-7. MR 0214072...

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...