Pensum/l?ringskrav

Hatcher 3.1: Cohomology groups

  • Singular cohomology; the axioms for a cohomology theory.

  • The universal coefficient theorems for homology and cohomology; cellular homology and cohomology.

Hatcher 3.2: Cup product

  • The cohomology ring; the Kuenneth theorem.

  • Computations for tori, projective spaces.

Hatcher 3.3: Poincare duality

  • Orientations.

  • Cap product; the duality isomorphism.

  • Computations in dimensions <=4.

Hatcher 4.3: Connections with cohomology

  • The homotopy construction of cohomology.

Hatcher 4.L: Steenrod squares and powers

  • Properties, applications and constructions.

Publisert 24. apr. 2007 20:31 - Sist endret 24. okt. 2007 12:31