Chromatic spectral sequence

{{Short description|Homotypic spectrum}}

In mathematics, the chromatic spectral sequence is a spectral sequence, introduced by {{harvtxt|Ravenel|1978}}, used for calculating the initial term of the Adams spectral sequence for Brown–Peterson cohomology, which is in turn used for calculating the stable homotopy groups of spheres.

See also

References

  • {{citation

|last=Ravenel|first= Douglas C.

|chapter=A novice's guide to the Adams–Novikov spectral sequence. |title=Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), II|pages= 404–475

|series=Lecture Notes in Math.|volume= 658|publisher=Springer|publication-place= Berlin|year= 1978

|doi=10.1007/BFb0068728

|mr=0513586

|isbn=978-3-540-08859-2}}

  • {{citation

|last= Ravenel

|first= Douglas C.

|title= Complex cobordism and stable homotopy groups of spheres

|edition= 2nd

|url= http://www.math.rochester.edu/people/faculty/doug/mu.html

|publisher= AMS Chelsea

|year= 2003

|isbn= 978-0-8218-2967-7

|mr= 0860042

}}

Category:Spectral sequences

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