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Forelesning 7: En minimal resolusjon

• R. R. Bruner: "An Adams spectral sequence primer" (2009), seksjon 1.5

Forelesning 6: Adams spektralsekvensen

• J. F. Adams: "On the structure and applications of the Steenrod algebra", Comment. Math. Helv. (1958), seksjon 3
• R. M. F. Moss: "On the composition pairing of Adams spectral sequences", Proc. London Math. Soc. (1968), seksjon 1
• D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), seksjon 2.1
• R. R. Bruner: "An Adams spectral sequence primer" (2009), seksjon 1.1-1.3

Forelesning 4: Betinget konvergens, Steenrod-operasjoner

• J. M. Boardman: "Conditionally convergent spectral sequences (1981/1999)
• N. E. Steenrod and D. B. A. Epstein: "Cohomology Operations", Ann. of Math. Studies (1962), kapittel I

Forelesning 5: Steenrod-algebraen

Merk ny tid: torsdager 12:15 - 14:00 i rom B63.

• N. E. Steenrod and D. B. A. Epstein: "Cohomology Operations", Ann. of Math. Studies (1962), kapittel I
• Allen Hatcher: "Algebraic Topology" (2002), seksjon 4.L

Forelesning 2: Vektorfelter p? sf?rer

• J. F. Adams, "Vector fields on spheres", Ann. of Math. (2) (1962)

Forelesning 3: Spektralsekvenser

• J. M. Boardman: "Conditionally convergent spectral sequences" (1981/1999)

Se mappen undervisningsmateriale for artiklene og b?kene jeg refererer til. Her er mine aktuelle forelesningsnotater .

Forelesning 1: Stabil homotopiteori

• Allen Hatcher: "Algebraic Topology" (2002), kapittel 3
• D. C. Ravenel: "Complex cobordism and stable homotopy groups of spheres" (1986/2003), kapittel 1

Mulige kilder:

• J. F. Adams: "On the non-existence of elements of Hopf invariant one", Ann. Math. (1960)
• J. P. May (Thesis, ETC)
• C. R. F. Maunder (ETC)
• A. Zachariou: "A subalgebra of ExtA(Z2, Z2)", Bull. Amer. Math. Soc. (1967)
• Mark Mahowald and Martin Tangora: An infinite subalgebra of ExtA(Z2, Z2)", Trans. Amer. Math. Soc. (1968)
• Robert E. Mosher and Martin C. Tangora: "Cohomology operations and applications in homotopy theory" (1968)
• D. S. Kahn: "Cup-i products and the Adams spectral sequence", Topology (1970)
• J. Peter May: "A general algebraic approach to Steenrod operations", Springer LNM (1970).
• R. M. F. Moss: "Secondary compositions and the Adams spectral sequence", Math. Z. (1970)
• Martic C. Tangora: "On the cohomology of the Steenrod algebra", Math. Z. (1970)
• J. Makinen: "Boundary formulae for reduced powers in the Adams spectral sequence", Ann. Acad. Sci. Fenn...