H-Spaces from a Homotopy Point of View

Inhaltsverzeichnis

• H-spaces from a homotopy point of view.
• The Hopf construction.
• The projective plane.
• Maps into an H-space: Algebraic structure, inverses, other multiplications, etc.
• Associativity: Loop spaces and topological groups.
• H-spaces which are finite complexes.
• The bar construction spectral sequence.
• Homotopy associativity.
• Maps of H-spaces.
• Spaces induced by H-maps.
• Differentials in the bar construction.
• An-spaces.
• Massey products and generalized bar construction.
• Homotopy commutativity.
• Structure on BX.
• Infinite loop spaces.
• Operations in iterated loop spaces.